Question

fine the unit voctor in the direction of vector a-b whom a = 6i + 2j-k and b =I + 3j + 5k​

Answer 1

Step-by-step explanation:

Here,

$\vec{a} = 6 \hat{i} + 2 \hat{j} - \hat{k} \\ \vec{b} = \hat{i} + 3 \hat{j} + 5 \hat{k}$

Now,

$\vec{c} = \vec{a} - \vec{b} = 5 \hat{i} - \hat{j} - 6 \hat{k}$

$\hat{c} = \frac{ \vec{c}}{ | \vec{c}| }$

$\implies \hat{c} = \frac{ 5 \hat{i} - \hat{j} - 6 \hat{k}}{ \sqrt{25 + 1 + 36} }$

$\implies \hat{c} = \frac{ 5 \hat{i} - \hat{j} - 6 \hat{k}}{ \sqrt{62} }$