Question

the s of two vectors A bar and B bar is at right angles to theis difference. Then
a) A=B
b) A=2B
c) B=2A
d) A bar || B bar​

Answer 1

Answer:

A) A = B

Step-by-step 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.