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Vector Algebra question

2002 · Shift 0 · Q91

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2002 · Shift 0 · Q91

Vector Algebra question

2002 · Shift 0 · Q91

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If

\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right| = 4,\left| {\overrightarrow c } \right| = 3

thus what will be the value of

\left| {\overrightarrow a .\overrightarrow b + \overrightarrow b .\overrightarrow c + \overrightarrow c .\overrightarrow a } \right|,

given that

\overrightarrow a + \overrightarrow b + \overrightarrow c = 0

:

A
$25$
B
$50$
C
$-25$
D
$-50$

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