Math Is Fun Forum

sarsalan

Member

Registered: 2008-11-03

Posts: 16

Elements of three dimensional geometry

Write down an equation or equations for each of the following.

a.      A plane parallel to xy-plane at a distance of 4 units from origin on negative z-axis.

b.      A curve produced due to the intersection of a circular cylinder and yz-plane. Center of this circular cylinder is x-axis (that is, cylinder is around x-axis) and its radius is one.

c.       A curve produced due to the intersection of a sphere, center at origin and radius 3, and xy-plane.

All_Is_Number

Member

Registered: 2006-07-10

Posts: 258

Re: Elements of three dimensional geometry

Write down an equation or equations for each of the following.

a.      A plane parallel to xy-plane at a distance of 4 units from origin on negative z-axis.

b.      A curve produced due to the intersection of a circular cylinder and yz-plane. Center of this circular cylinder is x-axis (that is, cylinder is around x-axis) and its radius is one.

c.       A curve produced due to the intersection of a sphere, center at origin and radius 3, and xy-plane.

b and c are just equations for circles on the intersecting planes, with appropriate radii and locations of center.

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