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Vector Algebra question

2021 · Shift 1 · Q38

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2021 · Shift 1 · Q38

Vector Algebra question

2021 · Shift 1 · Q38

JEE AdvancedMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow u

,

\overrightarrow v

and

\overrightarrow w

be vectors in three-dimensional space, where

\overrightarrow u

and

\overrightarrow v

are unit vectors which are not perpendicular to each other and

\overrightarrow u

.

\overrightarrow w

= 1,

\overrightarrow v

.

\overrightarrow w

= 1,

\overrightarrow w

.

\overrightarrow w

= 4 If the volume of the paralleopiped, whose adjacent sides are represented by the vectors,

\overrightarrow u

,

\overrightarrow v

and

\overrightarrow w

, is

\sqrt 2

, then the value of

\left| {3\overrightarrow u + 5\overrightarrow v } \right|

is

\underline{\hspace{2cm}}

.

Numerical answer

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