What is the reflection (image) of the point $P (1, 3, 4)$ in the plane $2 x - y + z + 3 = 0$ ?

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What is the shortest distance between the two skew lines…
What is the perpendicular distance of the point $P (1, 2, 3)$ from the plane $2 x - 3 y + 6 z + 7 = 0$ ?
If the direction cosines of a directed straight line are $l, m, n$ , which of the following identities is identically true?
What is the angle $θ$ between the straight line $\frac{x - 1}{2} = \frac{y + 2}{1} = \frac{z - 3}{2}$ and the plane…
Two lines $\frac{x - 1}{k} = \frac{y - 2}{2} = \frac{z - 3}{3}$ and $\frac{x - 2}{3} = \frac{y - 3}{k} = \frac{z - 1}{2}$ are perpendicular…
What is the equation of the plane passing through the point $(1, - 1, 2)$ and parallel to the plane $2 x - 3 y + 4 z = 6$ ?