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New Jersey Institute of Technology

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Popular Documents from MATH, New Jersey Institute of Technology
Math 213 • Homework 1 • Solution 1. Projection of vector 1, 2, 3 2 3 u i j k onto vector 3, 1, 0 3 v i j : 2 Equivalent ways to write the same vector 3 2 ˆ ˆ Proj 9 1   The sum of the parallel 1 3 1 3 3, 1, 0 , ,0 10 and ortho
Math 213, Spring 2014 Homework 1 Please show all work, and clearly explain your solution. 1. Consider vectors v =3 i  j and u = i +2 j  3 k . Express vector u as a sum of a vector parallel to v (i.e., the projection of u onto v ) and a vector ortho
Math 213 • Common Exam 1 Solution • February 12, 2014 • Victor Matveev 1. (11pts) Find the projection of vector 1, 0, 2 2 u i k onto vector 1,1, 3 3 v i j k 2 1 7 7 7 21 1,1, 3 , 6 ˆ ˆ Proj 1,1, 3 1 1 9  , 11 11 11 11 
Math 213 Homework 7 Spring 2014 1. Verify the conclusions of the Green’s Theorem, both in the circulation ‐ curl form and in the flux ‐ divergence form, for the vector field 2 1, x Fr , and the region enclosed between the curves 2 y x x
Math 213 Homework 4 Spring 2014 1. Sketch and use double integration in polar coordinates to find the area of one “petal” of a rose ‐ shaped region bounded by the curve r = cos 3 . 2. Set up limits on a triple integral over a volume enclosed in the
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213  Calculus III B
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