Chapter 10: Q 10 (page 848)
Describe the mathematical expression
It represents the dot product of two vectors.
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In Exercises 22–29 compute the indicated quantities when
Find the area of the parallelogram determined by the vectors v and w.
Give an example of three vectors in that form a right-handed triple. Explain how you can use the same three vectors to form a left-handed triple.
Find also sketch
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.
What is meant by the triangle determined by vectors u and v in ? How do you find the area of this triangle?
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