JEE Main 202313 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=3i^+j^−k^\vec{a}=3 \hat{i}+\hat{j}-\hat{k}a=3i^+j^−k^ and c⃗=2i^−3j^+3k^\vec{c}=2 \hat{i}-3 \hat{j}+3 \hat{k}c=2i^−3j^+3k^. If b⃗\vec{b}b is a vector such that a⃗=b⃗×c⃗\vec{a}=\vec{b} \times \vec{c}a=b×c and ∣b⃗∣2=50|\vec{b}|^{2}=50∣b∣2=50, then ∣72−∣b⃗+c⃗∣2∣|72-| \vec{b}+\left.\vec{c}\right|^{2} \mid∣72−∣b+c∣2∣ is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
