Ellipsoid Traces and Properties

What is a quadratic surface?

• A surface defined by a degree one equation

• A surface defined by a degree two equation

• A surface defined by a degree four equation

• A surface defined by a degree three equation

Which terms are not present in the equations considered in this video?

• yz, zx, xy

• xy, yz, zx

• xy, xz, yz

• xz, yz, zx

How do you determine the xy trace of an ellipsoid?

• Set x equal to zero

• Set all variables to zero

• Set y equal to zero

• Set z equal to zero

What shape is the xy trace of an ellipsoid?

• A hyperbola

• A circle

• A parabola

• An ellipse

In the xy trace example, what is the length of the major axis?

• 4 units

• 5 units

• 8 units

• 10 units

How do you determine the xz trace of an ellipsoid?

• Set y equal to zero

• Set z equal to zero

• Set all variables to zero

• Set x equal to zero

What is the major axis length in the xz trace example?

• 8 units

• 10 units

• 4 units

• 5 units

How do you determine the yz trace of an ellipsoid?

• Set x equal to zero

• Set z equal to zero

• Set y equal to zero

• Set all variables to zero

What is the major axis length in the yz trace example?

• 10 units

• 8 units

• 5 units

• 4 units

What tool is suggested for graphing the ellipsoid?

• Ruler

• Calculator

• Maple software

• Graph paper