# What is the unit vector that is orthogonal to the plane containing # (3i + 2j - 3k) # and # (i -2j + 3k) #?

##### 1 Answer

Dec 19, 2016

The answer is

#### Explanation:

We do a cross product to find the vector orthogonal to the plane

The vector is given by the determinant

Verification by doing the dot product

The vector is orthgonal to the other 2 vectors

The unit vector is obtained by dividing by the modulus

Thre unit vector is