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If u and v are unit vectors and is the acute angle between them, then 2 u 3 v is a unit vector for

Options

  1. Aexactly two values of
  2. Bmore than two values of
  3. Cno value of
  4. Dexactly one value of

Correct answer

D. exactly one value of

Step-by-step solution

|2 u 3 v |=1 aligned & 6| u | v | |=1 & = 1 6 aligned Hence there is exactly one value of for which 2 u 3 v is a unit vector.

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