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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A function f that satisfies the hypotheses of Rolle’s Theorem on [−2, 2] and for which there are exactly three values c ∈ (−2, 2) that satisfy the conclusion of the theorem .
In Exercises 22–29 compute the indicated quantities when
localid="1649405204459" role="math"
Fill in the blanks to complete each of the following theorem statements:
For if and only if
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.
(Hint: Think of the -plane as part of .)
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