First slide

Planes in 3D

Question

The equation of the plane that contains the point (1,-1,2) and is perpendicular to each of the planes $2 x + 3 y - 2 z = 5$ and $x + 2 y - 3 z = 8$ is

Moderate

A

$5 x - 4 y - z = 7$
B

$5 x + 4 y + z = 7$
C

$5 x + 4 y - z = 7$
D

$4 x + 5 y + z = 7$

Solution

equation of plane is $|\begin{matrix} x - 1 & y + 1 & z - 2 \\ 2 & 3 & - 2 \\ 1 & 2 & - 3 \end{matrix}| = 0$

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