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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Find the volume of the parallelepiped determined by the vectors u, v, and w.
What is a parallelepiped? What is meant by the parallelepiped determined by the vectors u, v and w? How do you find the volume of the parallelepiped determined by u, v and w?
Find the mass of a 30-centimeter rod with square cross sections of side length 2 centimeters, given that the density of the rod x centimeters from the left end is ρ(x) = grams per cubic centimeter.
In Exercises 24-27, find compuv, projuv, and the component of v orthogonal tou.
If u, v, and ware three mutually orthogonal vectors in , explain why .
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