Chapter 9.CR, Problem 4CC

To determine

(a)

To define:

The three-dimensional coordinate system and the coordinate planes.

To determine

(b)

To find:

The distance from the point $\left(3,-2,5\right)$ to each of the coordinate planes

To determine

(c)

To state:

The formula for the distance between the points $P\left(x_1,y_1,z_1\right)$ and $Q\left(x_2,y_2,z_2\right)$.

To determine

(d)

To find:

The distance between the points $P\left(1,2,3\right)$ and $Q\left(3,-1,4\right)$.

To determine

(e)

To state:

The equation of a sphere with centre $C\left(h,k,l\right)$ and radius $r$.

To determine

(f)

To find:

The equation for the sphere of radius $5$ centered at the point $\left(1,2,-3\right)$.