How do you normalize (5i−3j+12k)?

1 Answer
David G.
Feb 20, 2016

Normalizing a vector creates a 'unit vector' 1 unit in length in the same direction as the original vector. In this case the normalized vector is (5√178i−3√178j+12√178k) or (513.3i−313.3j+1213.3k)

Explanation:

Normalizing a vector means dividing each of the elements by the length of the vector.

The length of this vector is l=√52+(−3)2+122=√178≈13.3.

The normalized vector can be represented as (5√178i−3√178j+12√178k) or (513.3i−313.3j+1213.3k).

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