Let a=α i+j+β k and b=3 i-5 j+4 k be two vectors, such that a × b=-i+9 j+12 k. Then the projection of b-2 a on b+a is equal to:

Vector Algebra: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Morning shift · Q5827

JEE Main 202227 Jul, Morning shiftMathematicsHardVector Algebra184× since 2002

Let

\vec{a}=\alpha \hat{i}+\hat{j}+\beta \hat{k}

and

\vec{b}=3 \hat{i}-5 \hat{j}+4 \hat{k}

be two vectors, such that

\vec{a} \times \vec{b}=-\hat{i}+9 \hat{j}+12 \hat{k}

. Then the projection of

\vec{b}-2 \vec{a}

\vec{b}+\vec{a}

is equal to :

JEE Main 2022 · 27 Jul, Morning shift · Q5827

JEE Main 202227 Jul, Morning shiftMathematicsHardVector Algebra184× since 2002

Let

\vec{a}=\alpha \hat{i}+\hat{j}+\beta \hat{k}

and

\vec{b}=3 \hat{i}-5 \hat{j}+4 \hat{k}

be two vectors, such that

\vec{a} \times \vec{b}=-\hat{i}+9 \hat{j}+12 \hat{k}

. Then the projection of

\vec{b}-2 \vec{a}

\vec{b}+\vec{a}

is equal to :