Question

How can you find the magnitude of a vector v→=

Answer 1

Answer:

The magnitude of a vector is its length.

To calculate the magnitude of a vector in any number of dimensions, square root the sum of the squares of each dimension.

Therefore, if  $\vec v=(x,y)$  then its magnitude is:

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

Similarly, if  $\vec v=(x,y,z)$  then its magnitude is:

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