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:4 Aug Shift 1The equation of the line passing through (-2, 3, 4) and parallel to the vector 2i^−j^+k^2\hat{i} - \hat{j} + \hat{k}2i^−j^+k^ is:15 June Shift 2Let a⃗=4i^−j^+3k^\vec{a} = 4\hat{i} - \hat{j} + 3\hat{k}a=4i^−j^+3k^ and b⃗=−2i^+j^−2k^\vec{b} = -2\hat{i} + \hat{j} - 2\hat{k}b=−2i^+j^−2k^. Then (A) a⃗\vec{a}a is a unit vector (B) a⃗×b⃗=−i^+2j^+2k^\vec{a} \times \vec{b} = -\hat{i} + 2\hat{j} + 2\hat{k}a×b=−i^+2j^+2k^ (C) a⃗\vec{a}a and b⃗\vec{b}b are parallel vectors (D) a⃗\vec{a}a and b⃗\vec{b}b are neither parallel nor perpendicular vectors Choose the correct answer from the options given below :19 May Shift 1Match List-I with List-II List-IList-IIMathematical StatementValue(A) i^⋅(j^×k^)\hat{i} \cdot (\hat{j} \times \hat{k})i^⋅(j^×k^)(I) −k^-\hat{k}−k^(B) j^⋅(i^×k^)\hat{j} \cdot (\hat{i} \times \hat{k})j^⋅(i^×k^)(II) 1(C) i^×(j^×k^)\hat{i} \times (\hat{j} \times \hat{k})i^×(j^×k^)(III) -1(D) j^×i^\hat{j} \times \hat{i}j^×i^(IV) 0⃗\vec{0}0 Choose the correct answer from the options given below: