What is ||<1,6,−3>−<4,−2,−9>||?

1 Answer
Steve M
Apr 13, 2017

||⟨1,6,−3⟩−⟨4,−2,−9⟩||=√109

Explanation:

Let:

→u=⟨1,6,−3⟩−⟨4,−2,−9⟩

First we will simplify the vector:

→u=⟨(1)−(4),(6)−(−2),(−3)−(−9)⟩
=⟨−3,8,6⟩

Then we compute the norm:

∣∣∣∣→u∣∣∣∣=√(−3)2+(8)2+(6)2
=√9+64+36
=√109

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