Question

Find the cross product a ×
b. A = i + 3j − 2k, b = −i + 5k

Answer 1

we are given

`a=i+3j-2k`

`b=-i+5k`

we can find cross product

`aXb=\begin{pmatrix}1&3&-2\end{pmatrix}* \begin{pmatrix}-1&0&5\end{pmatrix}`

`=\begin{pmatrix}3* \:5-\left(-2* \:0\right)&-2\left(-1\right)-1* \:5&1* \:0-3\left(-1\right)\end{pmatrix}`

`aXb=15i-3j+3k`