Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Volume of the parallelopiped with its edges represented by the vectors $\hat i+\hat j, \hat i+2\hat j$ and $\hat i+\hat j+π\hat k$, is

Options:

$π$

$π/2$

$π/3$

$π/4$

Correct Answer:

$π$

Explanation:

Volume of the given parallelopiped is the absolute value of the determinant

$D=\begin{vmatrix}1&1&0\\1&2&0\\1&1&π\end{vmatrix}=π$

∴ Volume = $π$