Question

If |A+B|=|A|+|B| Then angle between A and B is

Answer 1

Answer: hi there!!

(A+B) =A +B

A+B-B=A

A=A

Plz mark brainliest

Bye!!!!

Answer 2

$\underline{\underline{\mathfrak{\green{Answer:-}}}}$

0°

$\underline{\underline{\mathfrak{\green{Explanation:-}}}}$

Given:

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

To find:

Angle between A and B

Solution:

As we know,

$\boxed{\pink{{|A+B|}^{2} = {|A| }^{2}+ {|B|}^{2} + 2|A| |B| cos \theta}}$

Now,

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

by squaring on both sides,

${|A+B|}^{2} = ({|A|+ |B|})^{2}$

${|A| }^{2}+ {|B|}^{2} + 2|A| |B| cos \theta</p><p>= {|A| }^{2}+ {|B|}^{2} + 2|A| |B|$

$\cancel{{|A| }^{2}+ {|B|}^{2}} + 2|A| |B| cos \theta</p><p>= \cancel{{|A| }^{2}+ {|B|}^{2}} + 2|A| |B|$

$\cancel{2|A| |B|} cos \theta</p><p>= \cancel{2|A| |B|}$

$cos \theta</p><p>= 1$

$\theta</p><p>= 0°$

Hence, the angle between A and B is

0°