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Which statement is right for conservative 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?
Verified Answer
Which statement is right for conservative force vector F = Ai + Bj + C...
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.
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Most Upvoted Answer
Which statement is right for conservative force vector F = Ai + Bj + C...
Rectangular Components Representation of Vector F:

The correct statement for the conservative force vector F = Ai Bj Ck is:

In rectangular components representation of any vector we have vector F = Fx Fy Fz

Explanation:

- When representing a vector in rectangular components, we typically use the notation F = Fx Fy Fz, where Fx, Fy, and Fz are the components of the vector in the x, y, and z directions respectively.

- In the given force vector F = Ai Bj Ck, A, B, and C are scalar constants representing the magnitudes of the vector components along the x, y, and z axes respectively.

- Therefore, in rectangular component form, the vector F would be represented as F = Ax By Cz, where Ax, By, and Cz are the components of the vector along the x, y, and z axes respectively.

- Hence, the correct representation for the conservative force vector F = Ai Bj Ck in rectangular components would be F = Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.

Therefore, option 'C' is the correct statement for the given conservative force vector F = Ai Bj Ck in rectangular components representation.
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Which statement is right for conservative 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?
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Which statement is right for conservative 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 conservative 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 conservative 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?.
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