If |A×B|=√3(A·B), the magnitude |A+B| equals:

Question

G1 Physics · Accepted Answer

Step 1: The condition gives tanθ=√3, hence θ=60°. Step 2: Thus |A+B|²=A²+B²+2ABcos60°=A²+B²+AB. Final answer: A — √(A²+B²+AB).