# What is the cross product of <5, 2 ,5 > and <4 ,7 ,3 >?

Apr 17, 2016

#### Answer:

$A X B = - 29 \hat{i} + 5 \hat{j} + 27 \hat{k}$

#### Explanation:

$A X B = \hat{i} \left(2 \cdot 3 - 5 \cdot 7\right) - \hat{j} \left(5 \cdot 3 - 5 \cdot 4\right) + \hat{k} \left(5 \cdot 7 - 2 \cdot 4\right)$

$A X B = \hat{i} \left(6 - 35\right) - \hat{j} \left(15 - 20\right) + \hat{k} \left(35 - 8\right)$

$A X B = - 29 \hat{i} + 5 \hat{j} + 27 \hat{k}$