Question

How do you find the magnitude of MP given M(2,-1) and P(-3,4)?

Answer 1

`5sqrt2`.

Explanation:

`vec(MP)`=position vector of P-position vector of M

`=(-3,4)-(2,-1)`

`=(-3-2,4-(-1))`

`=(-5,5)`

Hence, the magnitude of `vec(MP)=||vec(MP)||`

`=sqrt{(-5)^2+5^2}=sqrt(25+25)=sqrt50=5sqrt2`.