Question

(2,3,√3) ,Find the magnitude of the given vectors.

Answer 1

(2, 3 , √3) is in vector form $\vec{r}=2\hat{i}+3\hat{j}+\sqrt{3}\hat{k}$

we know, if any vector $\vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k}$
then, magnitude of $\vec{A}$ is written as $|A|=\sqrt{a_1^2+a_2^2+a_3^2}$

here, $\vec{r}=2\hat{i}+3\hat{j}+\sqrt{3}\hat{k}$
then, magnitude, $|r|=\sqrt{2^2+3^2+\sqrt{3}^2}$
so, |r| = $\sqrt{4+9+3}$ = 4

magnitude of vector is 4 unit.