Question 1203c

Vectors I: Basics, Dot and Cross Products
Algebra III

Question

Given that ∣a∣=3,{|\mathbf{a}|=3,} b{\mathbf{b}} is a unit vector, and the angle between the the vectors is 60∘,{60^\circ,} what is the value of
(3a−3b)⋅(3a+2b)?(3 \mathbf{a} - 3 \mathbf{b})\cdot(3 \mathbf{a} + 2 \mathbf{b})?

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