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

##### 1 Answer

Feb 9, 2016

#### Answer:

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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