Q3 of 26 Page 1

Find and μ if

Given cross product is zero i.e 0i + 0j + 0k


∴ (i + 3j + 9k) x (3i - λj + μk)


⇒


⇒ i(3μ - ( - 9λ) + j(μ - 27) + k( - λ - 9) = 0i + 0j + 0k


⇒ μ - 27 = 0 ⇒ μ = 27


⇒ - λ - 9 = 0 ⇒ λ = - 9


∴ Value of μ and λ are 27 and - 9 respectively.


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