NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice
What is the linear velocity if the angular velocity vector is ω → = 3 i ^ − 4 j ^ + k ^ and position vector is r → = 5 i ^ − 6 j ^ + 6 k ^ ?
Options
- A6   i ^ + 2   j ^ − 3   k ^
- B− 18   i ^ − 13   j ^ + 2   k ^
- C18   i ^ + 13   j ^ − 2   k ^
- D6   i ^ − 2   j ^ + 8   k ^
Correct answer
B. − 18   i ^ − 13   j ^ + 2   k ^
Step-by-step solution
As we know that v →   =   ω →   ×   r →   =   ( 3   i ^ − 4   j ^ + k ^ )   ×   ( 5   i ^ − 6   j ^ + 6   k ^ ) ∴         w → ×     r → = | i ^ j ^ k ^ 3 − 4 1 5 − 6 6 | or     w → ×     r → =   i ^   ( − 24 + 6 ) + j ^ ( 5 − 18 ) + k ^ ( − 18 + 20 ) = &#