Mechanical Engineering Exam > Mechanical Engineering Questions > Which statement is right for force vector F =...
Start Learning for Free
Which statement is right for force vector F = Ai + Bj + Ck?
- a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ck
- b)In rectangular components representation of any vector we have vector F = Ax + By + Cz
- c)In rectangular components representation of any vector we have vector F = Fx + Fy + Fz
- d)In rectangular components representation of any vector we have vector F = Fi + Fj + Fk
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectan...
As given the vector is F = Ai + Bj + Ck, this implies that the x ,y and z-axis components of this vector is A, B and C respectively. But, in rectangular components representation of any vector, the vector is written as F = Fx + Fy + Fz.
Most Upvoted Answer
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectan...
Rectangular Components Representation of Vector F
In the rectangular coordinate system, any vector can be represented by its components along the x, y, and z axes. For the force vector F = Ai Bj Ck, the rectangular components representation is as follows:
Vector F = Fx Fy Fz
Explanation
- The x-component of vector F is represented by Fx, which is equal to the coefficient A of the i unit vector. The i unit vector is a vector in the x-direction with a magnitude of 1. Therefore, the x-component of vector F is A.
- Similarly, the y-component of vector F is represented by Fy, which is equal to the coefficient B of the j unit vector. The j unit vector is a vector in the y-direction with a magnitude of 1. Therefore, the y-component of vector F is B.
- Likewise, the z-component of vector F is represented by Fz, which is equal to the coefficient C of the k unit vector. The k unit vector is a vector in the z-direction with a magnitude of 1. Therefore, the z-component of vector F is C.
- Hence, the rectangular components representation of vector F is Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.
Conclusion
In summary, option 'C' is the right statement for the force vector F = Ai Bj Ck. The rectangular components representation of any vector is given by its components along the x, y, and z axes. For the force vector F, its rectangular components representation is Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.
In the rectangular coordinate system, any vector can be represented by its components along the x, y, and z axes. For the force vector F = Ai Bj Ck, the rectangular components representation is as follows:
Vector F = Fx Fy Fz
Explanation
- The x-component of vector F is represented by Fx, which is equal to the coefficient A of the i unit vector. The i unit vector is a vector in the x-direction with a magnitude of 1. Therefore, the x-component of vector F is A.
- Similarly, the y-component of vector F is represented by Fy, which is equal to the coefficient B of the j unit vector. The j unit vector is a vector in the y-direction with a magnitude of 1. Therefore, the y-component of vector F is B.
- Likewise, the z-component of vector F is represented by Fz, which is equal to the coefficient C of the k unit vector. The k unit vector is a vector in the z-direction with a magnitude of 1. Therefore, the z-component of vector F is C.
- Hence, the rectangular components representation of vector F is Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.
Conclusion
In summary, option 'C' is the right statement for the force vector F = Ai Bj Ck. The rectangular components representation of any vector is given by its components along the x, y, and z axes. For the force vector F, its rectangular components representation is Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer?
Question Description
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer?.
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which statement is right for force vector F = Ai + Bj + Ck?a)In rectangular components representation of any vector we have vector F = Ai + Bj + Ckb)In rectangular components representation of any vector we have vector F = Ax + By + Czc)In rectangular components representation of any vector we have vector F = Fx + Fy + Fzd)In rectangular components representation of any vector we have vector F = Fi + Fj + FkCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup