Question

two vector a and b are drawn from a common point and c=a+b then angle between a and b is

Answer 1

Hope this helps you ☺☺

Answer 2

Given : c = a+b

Explanation:

The two vectors are given a and b

we have to find the angle between a and b

then

we know that

$c^2 = a^2+b^2+2ab\cos \theta$

here c= a+b

then

(a+b) ²  = $a^2+b^2 +2ab\cos\theta$

$a^2+b^2+2ab = a^2+b^2 +2ab\cos\theta$\

cancelling a² +b²

we get

$2ab = 2ab\cos \theta \\\\\cos\theta = \frac{2ab}{2ab}\\\\\cos\theta = 1\\\\cos\theta=\cos 0^\circ\\\\\theta = 0^\circ$

hence , the angle between the two vectors a and b is 0 degrees

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