JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 10 April 2023, Shift 2, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

Let

\vec{a} = 2\hat{i} + 7\hat{j} - \hat{k},\ \vec{b} = 3\hat{i} + 5\hat{k}

and

\vec{c} = \hat{i} - \hat{j} + 2\hat{k}

. Let

\vec{d}

be a vector which is perpendicular to both

\vec{a}

and

\vec{b}

, and

\vec{c} \cdot \vec{d} = 12

. Then

(-\hat{i} + \hat{j} - \hat{k}) \cdot (\vec{c} \times \vec{d})

is equal to

Official answer

Option 3

NTA final key.

Same idea in other shifts