Let \veca=2\widehati\, +\widehatj\, +2\widehatk , \vecb=\widehati-\widehatj+2...

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Question Id : 10668 | Context :NIMCET 2021

Let

$\vec{a}=2\widehat{i}\, +\widehat{j}\, +2\widehat{k}$ ,

$\vec{b}=\widehat{i}-\widehat{j}+2\widehat{k}$ and

$\vec{c}=\widehat{i}+\widehat{j}-2\widehat{k}$ are are three vectors. Then, a vector in the plane of

$\vec{a}$ and

$\vec{c}$ whose projection on

$\vec{b}$ is of magnitude

$\frac{1}{\sqrt{6}}$ is

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Devesh Shukla , Fully Verified
Commented Apr 15 , 2023

I think Ans should be option a

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