Chapter 10: Q 31. (page 846)
Show that the lines determined by
and
are parallel, and then find an equation of the plane containing both lines.
Short Answer
The equation of the plane that contains the llne and the line is
Chapter 10: Q 31. (page 846)
Show that the lines determined by
and
are parallel, and then find an equation of the plane containing both lines.
The equation of the plane that contains the llne and the line is
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Get started for freeWrite a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
If u and v are vectors in such that and , what can we conclude about u and v?
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 .)
If u, v and w are three vectors in , what is wrong with the expression ?
Calculate each of the limits:
.
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