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

1 Answer
Douglas K.
Jun 13, 2017

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

Explanation:

Compute the magnitude:

|veca|= sqrt((-10)^2+ 6^2+ (-7)^2)

|veca|= sqrt(100 + 36+ 49)

|veca|= sqrt(185)

To obtain the unit vector of veca = (-10, 6, -7), we divide each component by sqrt185 but we should rationalize 1/sqrt185 to sqrt185/185:

hata = ( (-10sqrt185)/185, (6sqrt185)/185, (-7sqrt185)/185)

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