Write parametric equation of line having end points P1(3,5,8) and P2 (6,4,3).
A)[3 5 8]+u[3 -1 -5]
B)[3 5 8]+u[3 1 5]
C)[3 8 5]+u[3 -1 -5]
D)[3 5 8]+u[-3 1 5]

Question

Quizplus · Accepted Answer

The parametric equation of a line can be given by $\mathbf{r} = \mathbf{r_0} + t\mathbf{d}$, where $\mathbf{r_0}$ is a point on the line, $\mathbf{d}$ is the direction vector of the line, and $t$ is a parameter. Here, $\mathbf{r_0} = (3, 5, 8)$ and $\mathbf{d} = \mathbf{P2} - \mathbf{P1} = (6-3, 4-5, 3-8) = (3, -1, -5)$.

Write Parametric Equation of Line Having End Points P1(3,5,8) and P2