Question

Find the magnitude of vector A = i - 2j + 3k O V14 10 O4

Answer 1

Answer:

The magnitude of the given vector is $\sqrt{14}$

Explanation:

For any given vector $\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}$

The magnitude is given by

$|r|=\sqrt{x^2+y^2+z^2}$

comparing with the given vector $\overrightarrow{A}=1\widehat{i}-2\widehat{j}+3\widehat{k}$

we get

x = 1, y = -2, z = 3

Thus the magnitude of vector A is

$|r|=\sqrt{1^2+(-2)^2+3^2}\\\\\therefore |r|=\sqrt{14}$