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
(2a+5b)(4a+2b)?(2 \mathbf{a} + 5 \mathbf{b})\cdot(4 \mathbf{a} + 2 \mathbf{b})?

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