For two nonzero vectors A and B making an angle θ, the magnitudes satisfy |A×B|=√3(A·B). Find θ.
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Question

For two nonzero vectors A and B making an angle θ, the magnitudes satisfy |A×B|=√3(A·B). Find θ.

G1 Physics · Accepted Answer

Step 1: AB sinθ=√3 AB cosθ. Step 2: Therefore tanθ=√3 and θ=60° (acute angle since the right-hand side is positive). Final answer: D — 60°.