VectorHard

Question

The number of distinct real values of λ, for which the vectors - λ2 and are coplanar, is

Options

A.zero
B.one
C.two
D.three

Solution

= 0 ⇒ λ6 - 3λ2 - 2 = 0
⇒ (1 + λ2)2 (λ2 - 2) = 0 ⇒ λ = ± √2.

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