assignment1

# assignment1 - MAC2313 Graded Assignment Due Monday Name...

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MAC2313 Graded Assignment Due Monday, 9/6/10 Name: This assignment makes extensive use of the geometrical properties of dot products and cross products. Before beginning this assignment, make sure you have read sections 12.3 and 12.4 carefully and done the assigned homework problems for those sections. All the facts and theory which you need to complete this project can be found in those sections. Please work out your answers on rough paper ﬁrst and only write your ﬁne version in the space provided. Discovery Project: Geometry of a Tetrahedron (from p.794 of Stewart) A tetrahedron is a solid with four vertices, P , Q , R , and S , and four triangular faces as shown in the ﬁgure. 1. (4 points) Let v 1 , v 2 , v 3 , and v 4 be vectors with lengths equal to the areas of the faces opposite the vertices P , Q , R , and S , respectively, and directions perpendicular to the respective faces and pointing outward. Show that v 1 + v 2 + v 3 + v 4 = 0 . Hints.

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## This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.

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assignment1 - MAC2313 Graded Assignment Due Monday Name...

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