jee-main 2007 Q114

jee-main · India Vectors Introduction & 2D Angle or Cosine Between Vectors

If $\hat { u }$ and $\hat { v }$ are unit vectors and $\theta$ is the acute angle between them, then $2 \hat { u } \times 3 \hat { v }$ is a unit vector for
(1) exactly two values of $\theta$
(2) more than two values of $\theta$
(3) no value of $\theta$
(4) exactly one value of $\theta$

If $\hat { u }$ and $\hat { v }$ are unit vectors and $\theta$ is the acute angle between them, then $2 \hat { u } \times 3 \hat { v }$ is a unit vector for\\
(1) exactly two values of $\theta$\\
(2) more than two values of $\theta$\\
(3) no value of $\theta$\\
(4) exactly one value of $\theta$

Paper Questions

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