Chapter 10: Q. 53 (page 777)
Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and find its area.
Short Answer
The area of the given triangle is 54.784 units
Chapter 10: Q. 53 (page 777)
Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and find its area.
The area of the given triangle is 54.784 units
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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.
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 22–29 compute the indicated quantities when
Find the volume of the parallelepiped determined by vectors u, v and w. Do u, v and w form a right-handed triple?
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