JEE Main 2007 — Vector Algebra Question with Solution
JEE Main 2007
Question
If and are unit vectors and is the acute angle between them, then is a unit vector for
Choose an option
Show full solutionCorrect option: D
Correct answer
Dexactly one value of
Step-by-step explanation
$\begin{aligned}
& 6|\hat{u}\|\hat{v} \| \sin \theta|=1 \\
& \sin \theta=\frac{1}{6}
\end{aligned}$
Hence there is exactly one value of for which is a unit vector.
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This is a previous-year question from JEE Main 2007, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.