Question

If magnitude of vector A, B and Care 12,5
and 13 units. If A+B=C, then angle
between A and B is​

Answer 1

Answer:

angle =90 degree this is answer

Explanation:

Answer 2

Answer:

90°

Explanation:

Given

Vectors A, B and C

A = 12

B = 5

C = 13

Also

|A+B| = |C| (correction)

To Find

Angle between A and B

Solution

Let, the angle be $\theta$

we know that

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

putting the values

$\mathbf {{13}^{2} = {12}^{2}+{5}^{2}+2(12)(5) cos \theta}$

$\</strong><strong>mathb</strong><strong>f {</strong>1<strong>6</strong><strong>9</strong><strong>= </strong><strong>1</strong><strong>4</strong><strong>4</strong><strong>+</strong><strong>2</strong><strong>5</strong><strong> </strong><strong>+</strong><strong>1</strong><strong>2</strong><strong>0</strong><strong> cos \theta}$

$\mathbf {169 = 169+120 cos \theta}$

$\mathbf {169 - 169 = 120 cos \theta}$

$\mathbf {120 cos \theta = 0}$

$\mathbf {cos \theta = 0}$

$\mathbf {\theta = 90 \degree}$