Let , and a vector be such that 2( a b )+3( b c )= 0 . If , then is equal…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\vec{a}=4\hat{i}-\hat{j}+3\hat{k}

\vec{b}=10\hat{i}+2\hat{j}-\hat{k}

and a vector

\vec{c}

be such that

2(\vec{a}\times\vec{b})+3(\vec{b}\times\vec{c})=\vec{0}.

\vec{a}\cdot\vec{c}=15

, then

\vec{c}\cdot(\hat{i}+\hat{j}-3\hat{k})

is equal to: