JEE Main 20248 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002The set of all α\alphaα, for which the vectors a⃗=αti^+6j^−3k^\vec{a}=\alpha t \hat{i}+6 \hat{j}-3 \hat{k}a=αti^+6j^−3k^ and b⃗=ti^−2j^−2αtk^\vec{b}=t \hat{i}-2 \hat{j}-2 \alpha t \hat{k}b=ti^−2j^−2αtk^ are inclined at an obtuse angle for all t∈Rt \in \mathbb{R}t∈R, isAOption A. [0,1)[0,1)[0,1)BOption B. (−43,0]\left(-\frac{4}{3}, 0\right](−34,0]COption C. (−2,0](-2,0](−2,0]DOption D. (−43,1)\left(-\frac{4}{3}, 1\right)(−34,1)CheckSkip · show solution
