Chapter 10: Q .18. (page 812)
Let and be two nonzero position vectors in that are not scalar multiples of each other. Explain why, given any vector in , there are scalars and such that .
Chapter 10: Q .18. (page 812)
Let and be two nonzero position vectors in that are not scalar multiples of each other. Explain why, given any vector in , there are scalars and such that .
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Get started for freeIn Exercises 30–35 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.
Calculate the limits in Exercises , using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.
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In Exercises 37–42, find and find the unit vector in the direction of v.
Use limit rules and the continuity of power functions to prove that every polynomial function is continuous everywhere.
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