JEE Main 20246 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=2i^−3j^+4k^,b⃗=3i^+4j^−5k^\vec{a}=2 \hat{i}-3 \hat{j}+4 \hat{k}, \vec{b}=3 \hat{i}+4 \hat{j}-5 \hat{k}a=2i^−3j^+4k^,b=3i^+4j^−5k^ and a vector c⃗\vec{c}c be such that a⃗×(b⃗+c⃗)+b⃗×c⃗=i^+8j^+13k^\vec{a} \times(\vec{b}+\vec{c})+\vec{b} \times \vec{c}=\hat{i}+8 \hat{j}+13 \hat{k}a×(b+c)+b×c=i^+8j^+13k^. If a⃗⋅c⃗=13\vec{a} \cdot \vec{c}=13a⋅c=13, then (24−b⃗⋅c⃗)(24-\vec{b} \cdot \vec{c})(24−b⋅c) is equal to _______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
