Question

find the angle between (i^+j^) and(j^+k^)​

Answer 1

Answer:

See below.

Explanation:

Two vectors are given. Let's call them vector A and B,

$\vec{A} = \hat{i} + \hat{j}\\\vec{B} = \hat{j} + \hat{k}$

Their magnitudes are,

$| \vec{A} | = \sqrt{2}\\| \vec{B} | = \sqrt{2}$

The angle theta between them will be,

$\theta = \tan^{-1}( \frac{|\vec{A}|}{|\vec{B}|} ) = \tan^{-1}( \frac{\sqrt{2}}{\sqrt{2}} ) = \frac{\pi}{2}$

Hence the angle between them is 90 degrees.