MathematicsHard202×since 2002Q5747Let SSS be the set of all (λ,μ)(\lambda, \mu)(λ,μ) for which the vectors λi^−j^+k^,i^+2j^+μk^\lambda \hat{i}-\hat{j}+\hat{k}, \hat{i}+2 \hat{j}+\mu \hat{k}λi^−j^+k^,i^+2j^+μk^ and 3i^−4j^+5k^3 \hat{i}-4 \hat{j}+5 \hat{k}3i^−4j^+5k^, where λ−μ=5\lambda-\mu=5λ−μ=5, are coplanar, then ∑(λ,μ)∈S80(λ2+μ2)\sum\limits_{(\lambda, \mu) \in S} 80\left(\lambda^2+\mu^2\right)(λ,μ)∈S∑80(λ2+μ2) is equal to :A2370B2130C2210D2290Check answerSkip