Let the vectors a, b, c represent three coterminous edges of a pa… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 2Cross Product

Let the vectors $\vec{a}, \vec{b}, \vec{c}$ represent three coterminous edges of a parallelepiped of volume $V$ . Then the volume of the parallelepiped, whose coterminous edges are represented by $\vec{a}$ , $\vec{b} + \vec{c}$ and $\vec{a} + 2\vec{b} + 3\vec{c}$ , is equal to:

A
$2V$
B
$6V$
C
$3V$
D
$V$

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