How do you find a unit vector in the same direction as a=(-10, 6, -7)?

1 Answer
Jun 13, 2017

Compute the magnitude and then divide each component by the magnitude.

Explanation:

Compute the magnitude:

a=(10)2+62+(7)2

a=100+36+49

a=185

To obtain the unit vector of a=(10,6,7), we divide each component by 185 but we should rationalize 1185 to 185185:

ˆa=(10185185,6185185,7185185)