How do you find the sum of the unit vectors (-1,2,-4) and (-8,5,-10)?

1 Answer
Douglas K.
Nov 15, 2016

The unit vector is: #(-9/sqrt(326), 7/sqrt(326), -14/sqrt(326))#

Explanation:

The sum is:

#(-1,2,-4) + (-8,5,-10) = (-9,7,-14)#

To make a unit vector, compute the magnitude:

|(-9. 7, -14)| = sqrt((-9)^2 + 7^2 + (-14)^2) = sqrt(326)

Divide each component by #sqrt(326)#

The unit vector is: #(-9/sqrt(326), 7/sqrt(326), -14/sqrt(326))#

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