Mathegoras

Vectors and matrices › Vectors in the plane › Dot product

Dot product with a linear combination

High school · ●○○○○ 10 pts

Given that the angle between vectors a⃗\vec{a} and b⃗\vec{b} is 120∘120^{\circ}, and ∣a⃗∣=2|\vec{a}|=2, ∣b⃗∣=5|\vec{b}|=5, find (2a⃗−b⃗)⋅a⃗(2\vec{a}-\vec{b})\cdot\vec{a}.

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vector magnitudeangle between vectors