Chapter 2.4, Problem 199E

For the following exercises, the vector $\text{u}$ and $\text{v}$ are given. Use determinant mutation to find vector $\text{w}$ orthogonal to vectors $\text{u}$ and $\text{v}$ .

199. $\text{u}=\langle -1,0,e^t\rangle ,\text{v}=\langle 1,e^{-t},0\rangle$ , where $t$ is a real number