All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 11 Exam  >  Class 11 Questions  >  A vector A and B make angle at 20 degree and ... Start Learning for Free
SaveJoin the Discussion on the App
A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector?
Clear all your Class 11 doubts with EduRev
Most Upvoted Answer
A vector A and B make angle at 20 degree and 120 degree with x-axis . ...
ResulTant Vector = Vector A + Vector B

= 5+12 = 17
Community Answer
A vector A and B make angle at 20 degree and 120 degree with x-axis . ...
Calculation of Resultant Vector


Given values:


  • Angle between vector A and x-axis = 20°

  • Angle between vector B and x-axis = 120°

  • Magnitude of vector A = 5m

  • Magnitude of vector B = 12m



Steps to Calculate Resultant Vector:



  1. Resolve vector A and vector B into their x and y components.

  2. Calculate the x and y components of the resultant vector using the formula:

    • x-component of resultant vector = sum of x-components of vector A and vector B

    • y-component of resultant vector = sum of y-components of vector A and vector B



  3. Calculate the magnitude of the resultant vector using the formula:

    • magnitude of resultant vector = square root of [(x-component of resultant vector)^2 + (y-component of resultant vector)^2]



  4. Calculate the angle made by the resultant vector with the x-axis using the formula:

    • angle made by resultant vector with x-axis = arctan(y-component of resultant vector / x-component of resultant vector)





Calculation:


  • Components of vector A:

    • x-component of vector A = 5 cos 20° = 4.75m

    • y-component of vector A = 5 sin 20° = 1.71m



  • Components of vector B:

    • x-component of vector B = 12 cos 120° = -6m

    • y-component of vector B = 12 sin 120° = 10.39m



  • Components of resultant vector:

    • x-component of resultant vector = 4.75m - 6m = -1.25m

    • y-component of resultant vector = 1.71m + 10.39m = 12.1m



  • Magnitude of resultant vector:

    • magnitude of resultant vector = square root of [(-1.25m)^2 + (12.1m)^2] = 12.23m



  • Angle made by resultant vector with x-axis:

    • angle made by resultant vector with x-axis = arctan(12.1m / -1.25m) = -82.6°





Conclusion:

The resultant vector has a magnitude of 12.23m and makes an angle of -
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11View all

Top Courses for Class 11

A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector?
Question Description
A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector?.
Solutions for A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? defined & explained in the simplest way possible. Besides giving the explanation of A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector?, a detailed solution for A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? has been provided alongside types of A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? theory, EduRev gives you an ample number of questions to practice A vector A and B make angle at 20 degree and 120 degree with x-axis . The magnitude of these vector s are 5m and 12 m respectively. Find the resultant vector? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© 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