Question

the sum and difference of two vectors are equal in magnitude find the angle between the two vectors​

Answer 1

Answer:

Explanation:

Let A be vector 1

And B be vector 2

The formula of sum of two vectors

Answer 2

Let the two vectors be X and Y

Then according to question

|X+Y| = |X-Y|

squaring both sides

|X+Y|² = |X-Y|²

X² + Y² + 2X.Y = X²+ Y² -2X.Y

After Solving

4X.Y = 0

X.Y=0

XYcosQ = 0

(Q is angle between X and Y)

CosQ = 0

Q = 90

ie Angle betwwen the two vectors X And Y is 90 degree