A) exactly two values of \[\theta \]
B) more than two values of \[\theta \]
C) no value of \[\theta \]
D) exactly one value of \[\theta \]
Correct Answer: D
Solution :
Let\[(2u\times 3v)\]is a unit vector. \[|2u\times 3v|=1\] \[\Rightarrow \]\[6|u|v||\sin \theta |=1\] \[\Rightarrow \]\[\sin \theta =\frac{1}{6}\] \[(\because |u|=|v|=1)\] Since,\[\theta \]is an acute angle. Hence, there is exactly one value of\[\theta \]for which\[(2u\times 3v)\]is a unit vector.You need to login to perform this action.
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