Question 1304e

Vectors II: Lines and Planes
Cartesian and Vector Equation of a Plane

Question

The line l{l} and the plane p{p} are given by
l:r=(4−31)+λ(−455),  λ∈R,p:r⋅(540)=5.\begin{align*} &l: \mathbf{r} = \begin{pmatrix} 4 \\ - 3 \\ 1 \end{pmatrix} + \lambda \begin{pmatrix} - 4 \\ 5 \\ 5 \end{pmatrix}, \; \lambda \in \mathbb{R}, \\ &p: \mathbf{r} \cdot \begin{pmatrix} 5 \\ 4 \\ 0 \end{pmatrix} = 5. \end{align*}
What is the relationship between the line and the plane?

Attempt

Select the correct option:

Answer

Question Progress

  • Start
  • Mastery
about questions progress