Question

How do you find the magnitude of YZ given Y(5,4) and Z(0,-3)?

Answer 1

`YZ=8.602`

Explanation:

The magnitude between two points `A(x_1,y_1)` and `B(x_2,y_2)` is the distance between A and B and is given by `sqrt((x_2-x_1)^2+(y_2-y_1)^2)`.

Hence magnitude of `Y(5,4)` and `Z(0,-3)` is

`YZ=sqrt((0-5)^2+(-3-4)^2)`

= `sqrt((-5)^2+(-7)^2)`

= `sqrt(25+49)`

= `sqrt74=8.602`