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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Get started for freeIn 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 37–42, find and find the unit vector in the direction of v.
If u, v, and ware three mutually orthogonal vectors in , explain why .
Find a vector in the direction of and with magnitude 7.
Why do we use the terminology "separable" to describe a differential equation that can be written in the form
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