CUET Mathematics 2022 4 Aug Shift 1Algebra > Hard−[a⃗,b⃗,c⃗]-[\vec{a}, \vec{b}, \vec{c}]−[a,b,c]02[a⃗,b⃗,c⃗]2[\vec{a}, \vec{b}, \vec{c}]2[a,b,c][a⃗,b⃗,c⃗][\vec{a}, \vec{b}, \vec{c}][a,b,c]✅ Correct Option: 4Related questions:6 Aug Shift 2In a triangle, △ABC\triangle ABC△ABC, the sides AB and AC are represented by vectors i^+j^+k^\hat{i} + \hat{j} + \hat{k}i^+j^+k^ and 2i^−k^2\hat{i} - \hat{k}2i^−k^ respectively. The length of median drawn from vertex A to BC is:7 Aug Shift 2The unit vector in the direction of the sum of vectors a⃗=2i^+2j^−5k^\vec{a} = 2\hat{i} + 2\hat{j} - 5\hat{k}a=2i^+2j^−5k^ and b⃗=2i^+j^+3k^\vec{b} = 2\hat{i} + \hat{j} + 3\hat{k}b=2i^+j^+3k^ is :2 June Shift 1The value of λ\lambdaλ, for which the two vectors 2i^−j^+2k^2\hat{i} - \hat{j} + 2\hat{k}2i^−j^+2k^ and 3i⃗+λj⃗+k^3\vec{i} + \lambda\vec{j} + \hat{k}3i+λj+k^ are perpendicular, is: