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Problem Which of the following 3 × 3 3\times3 3 × 3 a × b \mathbf a\times\mathbf b a × b a = 2 i ^ + 3 j ^ − k ^ \mathbf a=2\hat{i}+3\hat{j}-\hat{k} a = 2 i ^ + 3 j ^ − k ^ b = i ^ − 4 j ^ + 5 k ^ \mathbf b=\hat{i}-4\hat{j}+5\hat{k} b = i ^ − 4 j ^ + 5 k ^ ∣ i ^ 2 1 j ^ 3 − 4 k ^ − 1 5 ∣ \displaystyle \begin{vmatrix} \hat{i} & 2 & 1\\ \hat{j} & 3 & -4\\ \hat{k} & -1 & 5 \end{vmatrix} i ^ j ^ k ^ 2 3 − 1 1 − 4 5 ∣ i ^ j ^ k ^ 2 3 − 1 1 − 4 − 5 ∣ \displaystyle \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ 2 & 3 & -1\\ 1 & -4 & -5 \end{vmatrix} i ^ 2 1 j ^ 3 − 4 k ^ − 1 − 5 ∣ i ^ j ^ k ^ 2 3 − 1 1 − 4 5 ∣ \displaystyle \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ 2 & 3 & -1\\ 1 & -4 & 5 \end{vmatrix} i ^ 2 1 j ^ 3 − 4 k ^ − 1 5 ∣ i ^ j ^ k ^ 1 − 4 5 2 3 − 1 ∣ \displaystyle \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ 1 & -4 & 5\\ 2 & 3 & -1 \end{vmatrix} i ^ 1 2 j ^ − 4 3 k ^ 5 − 1 Browse the problem library