Find λ and μ if (î + 3ĵ + 9k) × (3î − λĵ + μk) = 0
Solution:
Given (î + 3ĵ + 9k) × (3î − λĵ + μk) = 0 Now we should do cross product of two given vectors and equate it to zero ∣∣∣∣∣ijk1393−λμ∣∣∣∣∣=i(3μ+9λ)+j(27−μ)+k(−3λ−9)=0 Hence, 3μ+ 9λ=0 27−μ=0 −3λ−9=0 Solving above three equations, we get, μ=27, λ=−3