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Vector Algebra: JEE Mains 2022, June 28 - Shift 1

Hard· Scalar triple product· +4 / 0

Let

\vec a=2\hat i+\hat j+3\hat k

,

\vec b=3\hat i+3\hat j+\hat k

and

\vec c=c_1\hat i+c_2\hat j+c_3\hat k

. If

\vec a,\vec b,\vec c

are coplanar,

\vec a\cdot\vec c=5

and

\vec b

is perpendicular to

\vec c

, find

122\left(c_1+c_2+c_3\right)

.

Your answer (numerical)

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