A vector of magnitude b is rotated through angle `theta`. What is the change in magnitude of the vector?

A vector of magnitude a is turned through angle theta . The magnitude of change in the vector is given by:

A vector of length l is turned through the angle theta about its tail. What is the change in the position vector of its head ?

Determine the magnitude of the vector sum, A + B.

If vecA is a vector of magnitude 4 units due east. What is the magnitude and direction of a vector -4vecA ?

A vector vecA is rotated through angle theta about its tail. Change of position vector of its tip of is:

If vec(A) is a vector of magnitude 3 units due east. What is the magnitude and direction of a vector -4vec(A) ?

If vec(A) is a vector of magnitudes 5 units due east. What is the magnitude and dirction of a vector -5vec(A) ?