Chapter 10: Q 10 (page 848)
Describe the mathematical expression
It represents the dot product of two vectors.
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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.
In Exercises 22–29 compute the indicated quantities when
localid="1649405204459" role="math"
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 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 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
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