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Vector Algebra question

2013 · Shift 1 · Q40

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2013 · Shift 1 · Q40

Vector Algebra question

2013 · Shift 1 · Q40

JEE AdvancedMathematicsVector AlgebraMCQ+3 / −1

Let

\overrightarrow{\mathrm{PR}}=3 \hat{i}+\hat{j}-2 \hat{k}

and

\overrightarrow{\mathrm{SQ}}=\hat{i}-3 \hat{j}-4 \hat{k}

determine diagonals of a parallelogram

P Q R S

and

\overrightarrow{\mathrm{PT}}=\hat{i}+2 \hat{j}+3 \hat{k}

be another vector. Then the volume of the parallelopiped determined by the vectors

\overrightarrow{\mathrm{PT}}, \overrightarrow{\mathrm{PQ}}

and

\overrightarrow{\mathrm{PS}}

is :

A
5 units
B
20 units
C
10 units
D
30 units

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