Match List-I with List-II:
| List-I | List-II | ||
| (A) | \(4 \hat{i}-2 \hat{j}-4 \hat{k}\) | (I) | A vector perpendicular to both \(\hat{i}+2 \hat{j}+\hat{k}\) and \(2 \hat{i}+2 \hat{j}+3 \hat{k}\) |
| (B) | \(-4 \hat{i}-4 \hat{j}+2 \hat{k}\) | (lI) | Direction ratios are -2, 1, 2 |
| (C) | \(2 \hat{i}-4 \hat{j}+4 \hat{k}\) | (Ill) | Angle with the vector \(\hat{i}-2 \hat{j}-\hat{k}\) is \(\cos ^{-1}\left(\frac{1}{\sqrt{6}}\right)\) |
| (D) | \(4 \hat{i}-\hat{j}-2 \hat{k}\) | (Iv) | Dot product with \(-2 \hat{i}+\hat{j}+3 \hat{k}\) is 10 |
Choose the correct answer from the options given below:
1
(A) - (I), (B) - (IV), (C) - (II), (D) - (III)
2
(A) - (II), (B) - (IV), (C) - (III), (D) - (I)
3
(A) - (II), (B) - (III), (C) - (IV), (D) - (I)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)