Question

find the unit vector of a vector B is equal to i^+j^+k^​

Answer 1

Hope this is the best answer of this question

Answer 2

Given that ,

The vector B is $\mathsf{ \vec{B} = \hat{i} + \hat{j} + \hat{k}}$

We know that , the unit vector of vector A is given by

$\large \rm{ \fbox{ \hat{A} = \frac{ \vec{A}}{ | \vec{A}| }}}$

Thus ,

$\rm \hookrightarrow \hat{B} = \frac{\hat{i} + \hat{j} + \hat{k} }{ \sqrt{1 + 1 + 1} } \\ \\ \rm \hookrightarrow \hat{B} = \frac{\hat{i} + \hat{j} + \hat{k} }{ \sqrt{3} }$

$\therefore \sf \underline{The \: unit \: vector \: of \: vector \: B \: is \: \frac{\hat{i} + \hat{j} + \hat{k} }{ \sqrt{3} } }$