Mathematics

Mathematics

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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