Question

If p=q the angle between p and q is neither 0 nor 180 then what is the angle between p+ q and p-q

Answer 1

Answer:

90 degree

Step-by-step explanation:

The angle between (P + Q) and ( P - Q ) depends on both the magnitudes and directions of the two vectors P and Q.

Consider the extreme case when the vectors are in the same direction and different magnitudes, let P = 2 i and Q = 3 i,

P + Q = 5 i , P - Q = - i

the angle between them is 180 degrees.

On the other hand if P = 3 i and Q = 2 i, the P + Q = 5 i and P - Q = i. Now the angle is zero.

The angle will be 90 degrees iff the two vectors are equal in magnitude but not parallel.