Chapter 10: Q 18. (page 845)
Explain the similarities in the derivations of the formulas for the distances from a point to a plane and from a point to a line.
Chapter 10: Q 18. (page 845)
Explain the similarities in the derivations of the formulas for the distances from a point to a plane and from a point to a line.
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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 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.
Sketch the parallelogram determined by the two vectors and . How can you use the cross product to find the area of this parallelogram?
In Exercises 22–29 compute the indicated quantities when
Find the area of the parallelogram determined by the vectors v and w.
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