Chapter 10: Q. 41 (page 790)
Graph the quadric surfaces given by the equations in Exercises 41–48.
The graph of the quadratic equation is
The equation is
The graph of the equation is shown below:
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If u and v are vectors in such that and , what can we conclude about u and v?
Find the norm of the vector.
What is meant by the parallelogram determined by vectors u and v in ? How do you find the area of this parallelogram?
In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
Use limit rules and the continuity of power functions to prove that every polynomial function is continuous everywhere.
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