Question: Question 6: 4 Marks We assume given a plane U passing by the tip of the vectors ~u = < -1, 1, 2 >, ~v

Question 6: 4 Marks

We assume given a plane U passing by the tip of the vectors ~u =< -1, 1, 2 >, ~v =< 2, -1, 0 > and

w~ =< 1, 1, 3 >.

(6.1) Find the dot products ~u ~v and w~ ~v

(6.2) Determine whether or not there is a vector ~n that is perpendicular to U. If yes, then find the

vector ~n. Otherwise explain why such a vector does not exist?

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