Question

if A×B=B×A(all are vectors) then what will be the angle between them?​

Answer 1

Answer:

Explanation:|A+B| = |A-B|

Square both sides:

|A+B|^2 = |A-B|^2

The magnitude of a vector V is the square root of the dot product with itself, i.e.

|V| = sqrt(V*V), so:

(A+B)*(A+B) = (A-B)*(A-B)

A*A + 2A*B + B*B = A*A - 2A*B + B*B

or 2A*B = -2A*B

Thus, A*B = 0, making the angle between them 90 degrees.