The line $l$ passes through the points $A$ and $B$ with coordinates $(-1, 2, 3)$ and \((5, 1

Question

The line $l$ passes through the points $A$ and $B$ with coordinates $(-1, 2, 3)$ and $(5, 14, 11)$ respectively. The plane $p$ has equation $2x + 3y - 6z = -7$. Show that the line $l$ is parallel but not contained on the plane $p$. Find the distance of the line $l$ from the plane $p$. Find a cartesian equation of the plane which contains $l$ and is perpendicular to $p$.

Accepted Answer

(ii) $1$ unit (iii) $-48x+26y-3z=91$

Vectors - Distance from a Point to a Plane

Vectors - Distance from a Point to a Plane

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