- #1

wolfspirit

- 33

- 1

## Homework Statement

Find a unit normal to the plane containing a and b. a=(3;-1; 2) and b=(1; 3;-2)

## Homework Equations

\frac{V}{|V|} where V = a+b

## The Attempt at a Solution

(3;-1; 2) +1; 3;-2)=(4,2,0)=V

|V| = \sqrt{4^2+2^} = 2\sqrt{5}

there fore the unit vector is (\frac{2}{\sqrt{5}} \widehat{i}, \frac{1}{\sqrt{5} \widehat{j} )

but this looks like a very messy answer i am therefore not convinced i have done it right, if some one could give me some guidance that would be very much appreciated :)