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Vector Algebra question

2022 · 28 Jun · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 28 Jun · Shift 1 · Q38

Vector Algebra question

2022 · 28 Jun · Shift 1 · Q38

JEE MainMathematicsVector AlgebraNumerical+4 / −1

If

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

,

\overrightarrow b = 3\widehat i + 3\widehat j + \widehat k

and

\overrightarrow c = {c_1}\widehat i + {c_2}\widehat j + {c_3}\widehat k

are coplanar vectors and

\overrightarrow a \,.\,\overrightarrow c = 5

,

\overrightarrow b \bot \overrightarrow c

, then

122({c_1} + {c_2} + {c_3})

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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