# How do you find a unit vector u that is orthogonal to a and b where a = 7 i - 5 j + k and b = -7 j - 5 k?

##### 1 Answer

Please see the explanation for steps leading to the unit vector:

#### Explanation:

The cross product of the two given vectors will give you a vector that is orthogonal; to make it a unit vector, you merely divide it by its magnitude.

The above vector,

To make

The unit vector is: