Question

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

Answer 1

The magnitude of the given vector is
`√(14)`

Step-by-step explanation:

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

The magnitude is given by

`|r|=√(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|=√(1^2+(-2)^2+3^2)\\\\\therefore |r|=√(14)`