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Unformatted text preview: P(1,0,-1) ,Q(2,4,5), and R(3,1,7) and find the area of the triangle formed by the points. Look at the properties in Theorem 8 on page 807. Property (5) is called the scalar triple product of the vectors a , b and c and can be written as a determinant. This product is used to find the volume of a parallelepiped. ( 29 1 2 3 1 2 3 1 2 3 a a a b b b c c c = a b c The volume of the parallelepiped determined by the vectors a , b and c is the magnitude of their scalar triple product. a (b c) V = Example: Find the volume of the parallelepiped determined by the points P(0,1,2), Q(2,4,5), R(-1,0,1) and S(6,-1,4). a b c a x b...
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