Question

$A$ vector has $5$ units length and equal components then the vector is

• A. $5(\overline{i}+\overline{j}+\overline{k})$
• B. $\frac{5}{3}(\overline{i}+2\overline{j}+2\overline{k})$
• C. $\frac{5}{\sqrt{3}}(\overline{i}+\overline{j}+\overline{k})$
• D. $\sqrt{3}(\overline{i}+\overline{j}+\overline{k})$

Answer 1

The correct option is C $\frac{5}{\sqrt{3}}(\overline{i}+\overline{j}+\overline{k})$

Checking Unit lenghts of all options available

$A)$$\left|5\right(\hat{i}+\hat{j}+\hat{k}\left)\right|=5\sqrt{3}$
$B)$$\left|\frac{5}{3}\right(\hat{i}+2\hat{j}+2\hat{k}\left)\right|=5$ but it is not equal components
$C)$$\left|\frac{5}{\sqrt{3}}\right(i+\hat{j}+\hat{k}\left)\right|=5$ in this all four equal comphonents
$D)$$\left|\sqrt{3}\right(i+\hat{j}+\hat{k}\left)\right|=3$