COMEDK2024PhysicsMathematics in PhysicsActual
If , and are the angles between the vectors P , Q , and R and =90^ as shown in figure. the product of ( Q R ) Q is equal to
Options
- AZero
- BR Q^2
- CR Q^2
- DR Q^2
Correct answer
A. Zero
Step-by-step solution
The expression given is ( Q R ) Q . By the properties of the scalar triple product, the vector ( Q R ) is perpendicular to both Q and R . Specifically, the cross product A B results in a vector that is orthogonal to the plane containing A and B . Therefore, ( Q R ) is perpendicular to Q . The dot product of two perpendicular vectors is always zero. Thus, ( Q R ) Q = 0 . Answer: Zero