In order to find at what value of the parameter c the point with coordinates A (1; -2; c) lies in the plane 3x – 2y + z – 10 = 0, we will compose and solve the equation.
Let’s start by substituting the coordinates of point A into the equation of the plane, since it, based on the condition, belongs to a given plane and we get an equation with one variable.
So, let’s substitute x = 1; y = -2 and get:
3 * 1 – 2 * (-2) + z – 10 = 0;
3 + 4 + z – 10 = 0;
Transferring 3; 4 and -10 to the right side of the equation:
z = 10-3-4;
z = 10 – 7;
z = 3.
With c = 3.
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