Geometry
# 3D Coordinate Geometry

Which of the following planes is perpendicular to the plane $-2x + 3 y -5 z = 1?$

Which of the following planes is perpendicular to the plane $2x - 7 y + 6 z = 6?$

$\alpha, \beta \text{ and } \gamma$ are planes such that $\alpha$ and $\beta$ do not intersect and $\alpha$ and $\gamma$ are perpendicular. Given that lines $l, m \text{ and } n$ lie on planes $\alpha, \beta \text{ and } \gamma,$ respectively, which of the following statement(s) is(are) true?

I. $\beta$ and $\gamma$ are perpendicular.

II. There exist $m$ and $n$ that intersect.

III. If $l \text{ and }m$ are perpendicular to $\gamma$, then $l // m.$