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If a vector \(A=2 i+2 j+3 k\) and \(B=3 i+6 j+n k\) are perpendicular to each other, then the value of \(n\) is
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Verified Answer
The correct answer is:
$0 \cdot 5$
If two vectors are perpendicular, then the dot product is zero.
\(\begin{aligned}
&A=2 i+2 j+3 k \\
&B=3 i+6 j+n k \\
&A \cdot B=0=>6+12+3 n=0 \\
&\Rightarrow>18=-3 n \\
&\Rightarrow n=-6
\end{aligned}\)
Hence the value of \(n\) is \(-6\).
\(\begin{aligned}
&A=2 i+2 j+3 k \\
&B=3 i+6 j+n k \\
&A \cdot B=0=>6+12+3 n=0 \\
&\Rightarrow>18=-3 n \\
&\Rightarrow n=-6
\end{aligned}\)
Hence the value of \(n\) is \(-6\).
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