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Vector Algebra question

2020 · 5 Sep · Shift 2 · Q26

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 5 Sep · Shift 2 · Q26

Vector Algebra question

2020 · 5 Sep · Shift 2 · Q26

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let the vectors

\overrightarrow a

,

\overrightarrow b

,

\overrightarrow c

be such that

\left| {\overrightarrow a } \right| = 2

,

\left| {\overrightarrow b } \right| = 4

and

\left| {\overrightarrow c } \right| = 4

. If the projection of

\overrightarrow b

on

\overrightarrow a

is equal to the projection of

\overrightarrow c

on

\overrightarrow a

and

\overrightarrow b

is perpendicular to

\overrightarrow c

, then the value of

\left| {\overrightarrow a + \vec b - \overrightarrow c } \right|

is

\underline{\hspace{2cm}}

.

Numerical answer

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