# Given two vectors A= 4.00i +3.00j and B= 5.00i -2.00j , how do you find the vector product A times B (expressed in unit vectors)?

$A \text{ x } B = - 23 k$

#### Explanation:

The requirement is a vector product.

The solution

$A \text{ x } B = \left[\begin{matrix}i & j & k \\ 4 & 3 & 0 \\ 5 & - 2 & 0\end{matrix}\right]$

$A \text{ x } B = 3 \left(0\right) i + 0 \left(5\right) j + 4 \left(- 2\right) k - 5 \left(3\right) k - 0 \left(- 2\right) i - 0 \left(4\right) j$

$A \text{ x } B = - 8 k - 15 k$

$A \text{ x } B = - 23 k$

God bless....I hope the explanation is useful.