Which vector equation describes the line through the point $\left(1,2\right)$ with direction vector $\left(3,-1\right)$?
Question 2
For the vector equation $\mathbf{r}=\begin{pmatrix}2\\-1\\4\end{pmatrix}+t\begin{pmatrix}0\\5\\-2\end{pmatrix}$, which point is on the line when $t=3$?
Question 3
Which vector equation is obtained from the points $\left(1,0,2\right)$ and $\left(4,3,6\right)$ if we use $\left(1,0,2\right)$ as the starting point?
Question 4
Which vector equation describes the plane through $\left(1,-2,0\right)$ with direction vectors $\left(1,0,3\right)$ and $\left(2,-1,1\right)$?
Question 5
For the vector equation $\mathbf{r}=\begin{pmatrix}5\\1\end{pmatrix}+t\begin{pmatrix}-2\\4\end{pmatrix}$, what is the initial point of the line?
Writing Vector Equations Quiz — Linear Algebra | A-Warded
