Question

Let û = u₁î + u₂ĵ + u₃ˆk be a unit vector in ℝ³ and ŵ = 1/√6 (î +ĵ = 2ˆk). Given that there exists a vector
￫v in ℝ³ such that |û x ￫v| = 1 and ŵ . (û x ￫v) = 1. Which of the following statement(s) is(are) correct?
(A) There is exactly one choice for such ￫v (B) There are infinitely many choices for such ￫v
(C) If û lies in the xy-plane then |u₁| = |u₂| (D) If û lies in the xz-plane then 2|u₁| = |u₃|

Answer 1

Answer:

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Step-by-step explanation:

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