Which one of the following correctly expresses the scalar (dot) product of two…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Which one of the following correctly expresses the scalar (dot) product of two vectors a⃗\vec{a} and b⃗\vec{b} in terms of the angle θ\theta between them? (a) ∣a⃗∣ ∣b⃗∣sin⁡θ|\vec a|\,|\vec b|\sin\theta (b) ∣a⃗∣ ∣b⃗∣cos⁡θ|\vec a|\,|\vec b|\cos\theta (c) ∣a⃗∣∣b⃗∣cos⁡θ\dfrac{|\vec a|}{|\vec b|}\cos\theta (d) ∣a⃗∣ ∣b⃗∣cos⁡2θ|\vec a|\,|\vec b|\cos^{2}\theta

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