Question 1203c

Vectors I: Basics, Dot and Cross Products
Algebra III

Question

Given that ∣a∣=4,{|\mathbf{a}|=4,} b{\mathbf{b}} is a unit vector, and the angle between the the vectors is 120∘,{120^\circ,} what is the value of
(4a+b)⋅(2a+4b)?(4 \mathbf{a} + \mathbf{b})\cdot(2 \mathbf{a} + 4 \mathbf{b})?

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