MathematicsMedium202×since 2002Q5858Let a⃗=2i^+5j^−k^,b⃗=2i^−2j^+2k^\vec{a}=2 \hat{i}+5 \hat{j}-\hat{k}, \vec{b}=2 \hat{i}-2 \hat{j}+2 \hat{k}a=2i^+5j^−k^,b=2i^−2j^+2k^ and c⃗\vec{c}c be three vectors such that (c⃗+i^)×(a⃗+b⃗+i^)=a⃗×(c⃗+i^)(\vec{c}+\hat{i}) \times(\vec{a}+\vec{b}+\hat{i})=\vec{a} \times(\vec{c}+\hat{i})(c+i^)×(a+b+i^)=a×(c+i^). If a⃗⋅c⃗=−29\vec{a} \cdot \vec{c}=-29a⋅c=−29, then c⃗⋅(−2i^+j^+k^)\vec{c} \cdot(-2 \hat{i}+\hat{j}+\hat{k})c⋅(−2i^+j^+k^) is equal to:A15B10C5D12Check answerSkip