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Vector Algebra question

2022 · 29 Jun · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 29 Jun · Shift 2 · Q35

Vector Algebra question

2022 · 29 Jun · Shift 2 · Q35

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a = \widehat i - 2\widehat j + 3\widehat k

,

\overrightarrow b = \widehat i + \widehat j + \widehat k

and

\overrightarrow c

be a vector such that

\overrightarrow a + \left( {\overrightarrow b \times \overrightarrow c } \right) = \overrightarrow 0

and

\overrightarrow b \,.\,\overrightarrow c = 5

. Then the value of

3\left( {\overrightarrow c \,.\,\overrightarrow a } \right)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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