If |P+q| vector = |p-q| vector. Then what is the angle between p vector and q vector
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The angle between (P + Q) and ( P - Q ) depends on both the magnitudes andThe 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.
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.
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