If the volume of parallelopiped with coterminous $4\widehat{\dot{\mathbf{i}}} + 5\widehat{\dot{\mathbf{j}}} + \widehat{\mathbf{k}}\ and\ 3\widehat{\dot{\mathbf{i}}} - 9\widehat{\dot{\mathbf{j}}} + p\widehat{\mathbf{k}}$ is 34 cu units, then $p$ is equal to

Question

Dr. Abubacker · Accepted Answer

(b)
Since, volume of parallelopiped $= 34$
$	herefore\ \left| \begin{matrix}
4 & 5 & 1 \
0 & - 1 & 1 \
3 & 9 & p
\end{matrix} ight| = 34$
$\Longrightarrow 4( - p - 9) - 5( - 3) + 1(3) = 34$
$\Longrightarrow \  - 4p - 36 + 15 + 3 = 34$
$\Longrightarrow 4p = - 52$
$\Longrightarrow p = - 13$

Q. If the volume of parallelopiped with coterminous $4\widehat{\dot{\mathbf{i}}} + 5\widehat{\dot{\mathbf{j}}} + \widehat{\mathbf{k}}\ and\ 3\widehat{\dot{\mathbf{i}}} - 9\widehat{\dot{\mathbf{j}}} + p\widehat{\mathbf{k}}$ is 34 cu units, then $p$ is equal to

Explanation

Reviewed by Dr. Abubacker

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