Question

if magnitude of vectors a + b= magnitude of a = magnitude of b , then angle between them is?

Answer 1

45 degree is the answer

Answer 2

Hi mate

Question

Magnitude of vector A+B is equal to magnitude of A is equal to Magnitude of B then angle between A&B is?

Solution:

let x be angle between vectors A and B

|A+B| = √(|A|²+|B|²+2|A|*|B|*cos(x))

Since |A+B|=|A|=|B|

|A+B|²=|A|²+|A|²+2*|A|*|A|*cos(x)

implies |A|²=|A|²+|A|²+2*|A|*|A|*cos(x)

implies |A|²+2*|A|*|A|*cos(x) = 0

implies |A| = 0 or cos(x) = -1/2

implies x=120 degree (since angle between two zero vectors is indeterminate)

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