Vectors: Examples

1. Find the unit vector of: <5,-3,7>

Anwser:

First find the magnitude:

>	sqrt((5)^2+(-3)^2+(2)^2);

Then divide the vector by its magnitude. NOTE: the anwser will be displayed in vertical form.

>	<5,-3,7>/38^(1/2);

2.Multiply the following vectors: 5i-2j +4k and -1i +2j-3k.

To do this, we must activate the vector package in Maple:

>	with(VectorCalculus);

Anwser

>	<5,-2,4>*<-1,2,-3>