Question 1203c

Vectors I: Basics, Dot and Cross Products
Algebra III

Question

Given that ∣a∣=2,{|\mathbf{a}|=2,} b{\mathbf{b}} is a unit vector, and the angle between the the vectors is 90∘,{90^\circ,} what is the value of
∣(2a−4b)×(a+5b)∣?\Big|(2 \mathbf{a} - 4 \mathbf{b})\times(\mathbf{a} + 5 \mathbf{b})\Big|?

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