Chapter 10: Q 32. (page 846)
Show that the lines determined by
are parallel, and then find an equation of the plane containing both lines.
Short Answer
The equation of the plane that contains the line and the line is
Chapter 10: Q 32. (page 846)
Show that the lines determined by
are parallel, and then find an equation of the plane containing both lines.
The equation of the plane that contains the line and the line is
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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.
(Hint: Think of the -plane as part of .)
In Exercises 30–35 compute the indicated quantities when
role="math" localid="1649436488889"
Use the definition of the derivative to find for each function in Exercises 39-54
Consider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
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