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Chapter 10: Q 4 (page 848)
Describe the meaning of mathematical expression
It represents a vector as an ordered triple in
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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 .)
Suppose that we know the reciprocal rule for limits: If exists and is nonzero, then This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
In Exercises 37鈥�42, find and find the unit vector in the direction of v.
Prove the first part of Theorem (a): If , then . (Hint: Given , choose . Then show that for it must follow that .)
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