MathematicsMedium202×since 2002Q5778Let S be the set of all a ∈R\in R∈R for which the angle between the vectors u⃗=a(logeb)i^−6j^+3k^\vec{u}=a\left(\log _{e} b\right) \hat{i}-6 \hat{j}+3 \hat{k}u=a(logeb)i^−6j^+3k^ and v⃗=(logeb)i^+2j^+2a(logeb)k^\vec{v}=\left(\log _{e} b\right) \hat{i}+2 \hat{j}+2 a\left(\log _{e} b\right) \hat{k}v=(logeb)i^+2j^+2a(logeb)k^, (b>1)(b>1)(b>1) is acute. Then S is equal to :A(−∞,−43)\left(-\infty,-\frac{4}{3}\right)(−∞,−34)BΦ\PhiΦC(−43,0)\left(-\frac{4}{3}, 0\right)(−34,0)D(127,∞)\left(\frac{12}{7}, \infty\right)(712,∞)Check answerSkip