If the vectors a = i - j + 2k, b = 2i + 4j + k and c = λi + j + μk are mutually orthogonal, then (λ, μ) = ?
(2, -7)
(-7, 2)
(3, -6)
(-6, 3)
Solution:
Since a, b and c are mutually orthogonal then a.b = 0, b.c = 0, c.a = 0 Putting values 2λ + 4 + μ = 0 λ(-7) + 2μ = 0 Solving these equations, we get λ = -7, μ = 2 Hence, option 'B' is correct.