Question 1302f

Vectors II: Lines and Planes
Relationship between Lines

Question

The lines l1{l_1} and l2{l_2} are given by
l1:r=(533)+λ(1−25),  λ∈R,l2:r=(10−4)+μ(1−25),  μ∈R.\begin{align*} &l_1: \mathbf{r} = \begin{pmatrix} 5 \\ 3 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ - 2 \\ 5 \end{pmatrix}, \; \lambda \in \mathbb{R}, \\ &l_2: \mathbf{r} = \begin{pmatrix} 1 \\ 0 \\ - 4 \end{pmatrix} + \mu \begin{pmatrix} 1 \\ - 2 \\ 5 \end{pmatrix}, \; \mu \in \mathbb{R}. \end{align*}
What is the relationship between the two lines?

Attempt

Select the correct option:

Answer

Question Progress

  • Start
  • Mastery
about questions progress