# What is the unit vector that is orthogonal to the plane containing # (29i-35j-17k) # and # (20j +31k) #?

##### 1 Answer

Feb 9, 2016

The cross product is perpendicular to each of its factor vectors, and to the plane that contains the two vectors. Divide it by its own length to get a unit vector.

#### Explanation:

Find the cross product of

Compute this by doing the determinant

After you find

then your unit normal vector can be either

You can do the arithmetic, right?

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