May 04, 2012
3D Cartesian Coordinate System
z
axes
origin
planes
octants
y
x
May 04, 2012
Determine the Octant for the following points.
1. (2,3,4)
2. (2,-3,4)
3. (-2,3,4)
4. (-2,-3,-4)
5. (2,-3,-4)
May 04, 2012
P(2,3,-1) and Q(-1,2,1)
2. Find PQ
3. Find the midpoint of PQ
May 04, 2012
Equation of a Sphere
center: (h, k, j) radius = r
(x - h)
+ (y - k) + (z - j) = r
May 04, 2012
4. Find the standard equation for the sphere
with center (2,4,3) and r = 3.
Does the sphere intersect the xy- plane?
May 04, 2012
5. Find the center and radius of the sphere.
x + y + z - 2x + 4y - 6z + 8 = 0
May 04, 2012
Sketch the plane.
12x + 15y + 20z = 60
May 04, 2012
Trace: intersection of a surface with one of the
three coordinate planes.
May 04, 2012
6. Sketch the xy trace of the sphere and give the
equation of the trace.
(x - 3) + (y - 2 ) + (z + 4) = 25