Question

What is the length (magnitude) of the vector (2,-1)?

Answer 1

Answer:

$\[\sqrt{5}\]$

Step-by-step explanation:

The given vector is represented by (2,-1).

This can be represented in general form as (x,y) where x=2 and y=-1.

Magnitude of the vector represented as (x,y) is given by $[\sqrt{x^{2}+y^{2}}\]$

Evaluating for the given values of x and y,

$\[\sqrt{2^{2}+(-1)^{2}}\]$$\[=\sqrt{4+1}\]$

$\[=\sqrt{5}\]$

Length of the vector is $\[\sqrt{5}\]$