Chapter 11 Review

Front

What is the center and radius of the sphere represented by the equation x^2 + y^2 + z^2 - 10x + 6y - 4z + 34 = 0?

Back

Center: (5, -3, 2), Radius: 2

Front

What is the equation of a plane that is perpendicular to the plane y = 3?

Back

z = 3

Front

What is the intersection of the plane 2x + 7y - z - 8 = 0 and the xy-plane?

Back

x = 0.5t + 4, y = (-1/7)t, z = 0

Front

What is the distance between point C and the midpoint of segment AB? A(3, 2, -5), B(7, -4, -12), C(1, 0, -4)

Back

6.10

Front

Is the point (-5.5, -8, 14) on the line given by the parametric equations x = 2 - 5t, y = 4 - 8t, z = 11 + 2t?

Back

Yes

Front

Define the center of a sphere in 3D space.

Back

The center of a sphere is a point in 3D space that is equidistant from all points on the surface of the sphere.

Front

What is the formula for the distance between two points in 3D space?

Back

Distance = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)