Chapter 10: Q .9. (page 811)
9. Let be a nonzero vector.
(a) Show that does not necessarily imply that .
(b) What geometric relationship must , , and satisfy if ?
Short Answer
Part a)Proved
Part b)
Chapter 10: Q .9. (page 811)
9. Let be a nonzero vector.
(a) Show that does not necessarily imply that .
(b) What geometric relationship must , , and satisfy if ?
Part a)Proved
Part b)
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Find and . Also sketchand .
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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.
In Exercises 24-27, find and the component of v orthogonal tou.
What is meant by the parallelogram determined by vectors u and v in ? How do you find the area of this parallelogram?
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