Question

Find the magnitude of v. v = -3i+ 40 + 7k v =

Answer 1

The magnitude of the given vector is 40.72 units.

Explanation:

The given vector is
`v=-3\widehat{i}+40\widehat{j}+7\widehat{k}`

We know that for any vector 'r'
`\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 we have

x = -3

y = 40

z = 7

Thus the magnitude equals

`|v|=\sqrt{(-3)^(2)+40^(2)+7^(2)}`

`|v|=40.72`