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Vector Algebra: JEE Mains 2022 June 29 Shift 2

Hard· Cross product· +4 / 0

Let

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

,

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

and

\vec c

be a vector such that

\vec a+\left(\vec b\times\vec c\right)=\vec 0

and

\vec b\cdot\vec c=5

. Then the value of

3\left(\vec c\cdot\vec a\right)

is equal to ______.

Your answer (numerical)

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