Question

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

Answer 1

Answer:

The magnitude of the given vector is 40.72 units.

Step-by-step 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  

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

$|v|=40.72$