The sum of all values of α, for which the points whose position vectors are i-2 j+3 k, 2 i-3 j+4 k,(α+1) i+2 k and 9 i+(α-8) j+6 k are coplanar, is equal to:

Vector Algebra: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q5754

JEE Main 20236 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002

The sum of all values of

\alpha

, for which the points whose position vectors are

\hat{i}-2 \hat{j}+3 \hat{k}, 2 \hat{i}-3 \hat{j}+4 \hat{k},(\alpha+1) \hat{i}+2 \hat{k}

and

9 \hat{i}+(\alpha-8) \hat{j}+6 \hat{k}

are coplanar, is equal to :

JEE Main 2023 · 6 Apr, Evening shift · Q5754

JEE Main 20236 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002

The sum of all values of

\alpha

, for which the points whose position vectors are

\hat{i}-2 \hat{j}+3 \hat{k}, 2 \hat{i}-3 \hat{j}+4 \hat{k},(\alpha+1) \hat{i}+2 \hat{k}

and

9 \hat{i}+(\alpha-8) \hat{j}+6 \hat{k}

are coplanar, is equal to :