Question 1203c

Vectors I: Basics, Dot and Cross Products
Algebra III

Question

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

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