Chapter 10: Q 22. (page 812)
In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
Short Answer
The dot product is 0 and the angle is.
Chapter 10: Q 22. (page 812)
In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
The dot product is 0 and the angle is.
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What is meant by the parallelogram determined by vectors u and v in ? How do you 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 [−4, 4], and illustrate this average value as a height on the graph.
In Exercises 22–29 compute the indicated quantities when
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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.
(Hint: Think of the -plane as part of .)
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