Let S be the set of all a R for which the angle between the vectors u=a(log e b) i-6 j+3 k and v=(log e b) i+2 j+2 a(log e b) k, (b>1) is acute. Then S is equal to:

Vector Algebra: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q5778

JEE Main 202228 Jul, Evening shiftMathematicsMediumVector Algebra184× since 2002

Let S be the set of all a

\in R

for which the angle between the vectors

\vec{u}=a\left(\log _{e} b\right) \hat{i}-6 \hat{j}+3 \hat{k}

and

\vec{v}=\left(\log _{e} b\right) \hat{i}+2 \hat{j}+2 a\left(\log _{e} b\right) \hat{k}

(b>1)

is acute. Then S is equal to :

JEE Main 2022 · 28 Jul, Evening shift · Q5778

JEE Main 202228 Jul, Evening shiftMathematicsMediumVector Algebra184× since 2002

Let S be the set of all a

\in R

for which the angle between the vectors

\vec{u}=a\left(\log _{e} b\right) \hat{i}-6 \hat{j}+3 \hat{k}

and

\vec{v}=\left(\log _{e} b\right) \hat{i}+2 \hat{j}+2 a\left(\log _{e} b\right) \hat{k}

(b>1)

is acute. Then S is equal to :