JEE Main 202229 Jul, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a⃗\vec{a}a and b⃗\vec{b}b be two vectors such that ∣a⃗+b⃗∣2=∣a⃗∣2+2∣b⃗∣2,a⃗⋅b⃗=3|\vec{a}+\vec{b}|^{2}=|\vec{a}|^{2}+2|\vec{b}|^{2}, \vec{a} \cdot \vec{b}=3∣a+b∣2=∣a∣2+2∣b∣2,a⋅b=3 and ∣a⃗×b⃗∣2=75|\vec{a} \times \vec{b}|^{2}=75∣a×b∣2=75. Then ∣a⃗∣2|\vec{a}|^{2}∣a∣2 is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
