MathematicsMedium202×since 2002Q5787For λ>0\lambda>0λ>0, let θ\thetaθ be the angle between the vectors a⃗=i^+λj^−3k^\vec{a}=\hat{i}+\lambda \hat{j}-3 \hat{k}a=i^+λj^−3k^ and b⃗=3i^−j^+2k^\vec{b}=3 \hat{i}-\hat{j}+2 \hat{k}b=3i^−j^+2k^. If the vectors a⃗+b⃗\vec{a}+\vec{b}a+b and a⃗−b⃗\vec{a}-\vec{b}a−b are mutually perpendicular, then the value of (14 cos θ)2\theta)^2θ)2 is equal toA25B50C20D40Check answerSkip