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Volume In Exercises 37 and 38, find the volume of the parallelepiped with the given vertices.
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Chapter 11 Solutions
Calculus: Early Transcendental Functions
- ProofProve that if A is not square, then either the row vectors of A or the column vectors of A form a linearly dependent set.arrow_forwardTranslating Points in the Plane In Exercises 41-44, find the coordinates of the vertices of the polygon after the given translation to a new position in the plane. Original coordinates of vertices: 5,8,3,6,7,6 Shift: 6 units down, 10 units to the leftarrow_forwardFinding the Volume of a Tetrahedron In Exercises 41-46, find the volume of the tetrahedron with the given vertices. (3,1,1),(4,4,4),(1,1,1),(0,0,1)arrow_forward
- Testing for Coplanar Points In exercises 47-52 determine whether the points are coplanar. (1,2,7),(3,6,6),(4,4,2),(3,3,4)arrow_forwardVerifying a Polygon In Exercises 25-28, show that the points form the vertices of the polygon. Isosceles triangle: 1,3,3,2,2,4.arrow_forwardVerifying a Polygon In Exercises 25-28, show that the points form the vertices of the polygon. Right triangle: 1,3,3,5,5,1arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage