Vector Algebra

JEE Main 2023 · 6 Apr, Evening shift · Q5753

MathematicsMedium202×since 2002Q5753

Let the vectors

\vec{a}, \vec{b}, \vec{c}

represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by

\vec{a}, \vec{b}+\vec{c}

and

\vec{a}+2 \vec{b}+3 \vec{c}

is equal to :

JEE Main 2023 · 6 Apr, Evening shift · Q5753

MathematicsMedium202×since 2002Q5753

Let the vectors

\vec{a}, \vec{b}, \vec{c}

represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by

\vec{a}, \vec{b}+\vec{c}

and

\vec{a}+2 \vec{b}+3 \vec{c}

is equal to :

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