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Chapter 10: Q .40. (page 835)
determine whether the given pairs of lines are parallel, identical, intersecting, or skew. If the lines are parallel, compute the distance between them. If the lines intersect, find the point of intersection and the angle at which the lines intersect.
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If u, v and w are three vectors in , which of the following products make sense and which do not?
localid="1649346164463"
Find the norm of the vector.
Sketch the parallelogram determined by the two vectors and . How can you use the cross product to find the area of this parallelogram?
Consider the function f shown in the graph next at the right. Use the graph to make a rough estimate of the average value of f on [鈭�4, 4], and illustrate this average value as a height on the graph.
In Exercises 36鈥�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.
(Hint: Think of the -plane as part of .)
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