QCEVault

Vectors in three dimensions — Question 3

Original QCE Vault practice · 1 mark

Q3 · Practice questionSimple familiar1 mark

QUESTION 3

A line, ll, and a plane, π\pi, are given by

l: r=(1−20)+λ(21−1),π: x−y+z=0.l:\ \mathbf r=\begin{pmatrix}1\\-2\\0\end{pmatrix}+\lambda\begin{pmatrix}2\\1\\-1\end{pmatrix},\qquad \pi:\ x-y+z=0.

The line

(A)
is parallel to, but does not lie in, the plane.
(B)
intersects the plane at one point.
(C)
lies entirely in the plane.
(D)
is perpendicular to the plane.
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