Explanation: 
Another Explanation (5):
vector A= 5\hat{i}-4\hat{j}+2\hat{k}
vector B= 3\hat{i}-3\hat{j}+\hat{k}
ক্ষেত্রফল = |A x B|
A x B =
| \hat{i} \hat{j} \hat{k} |
| 5 -4 2 |
| 3 -3 1 |
= \hat{i}((-4 * 1) - (2 * -3)) - \hat{j}((5 * 1) - (2 * 3)) + \hat{k}((5 * -3) - (-4 * 3))
= \hat{i}(-4 + 6) - \hat{j}(5 - 6) + \hat{k}(-15 + 12)
= 2\hat{i} + \hat{j} - 3\hat{k}
|A x B| = \sqrt{(2)^2 + (1)^2 + (-3)^2} = \sqrt{4 + 1 + 9} = \sqrt{14}
ক্ষেত্রফল = \sqrt{14} বর্গ একক। 🎉
