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Study Guide 1

by: Saadiq Shaik

Study Guide 1 MATH 241

Saadiq Shaik


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About this Document

Covers chapter 11.
Calculus III
Dr. Roohollah Ebrahimian
Study Guide
Math, Calculus, Multivariable, vectors, Dot, Product, Cross, Lines, planes, Spheres, coordinates, vector calculus, Calc
50 ?




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This 2 page Study Guide was uploaded by Saadiq Shaik on Monday September 19, 2016. The Study Guide belongs to MATH 241 at University of Maryland - College Park taught by Dr. Roohollah Ebrahimian in Fall 2016. Since its upload, it has received 7 views. For similar materials see Calculus III in Math at University of Maryland - College Park.


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Date Created: 09/19/16
Study Guide 1 Saadiq Shaik September 2016 Included are problems from each section. 1 11.1 Find the distance between P = (5;4;3)andQ = (2;1;0). 2 11.2 Given u = 2i + 3j + k, ▯nd jjujj. 3 11.3 Find the dot product of a = (1;2;3) and b = (0;1;42). 4 11.4 Using the vectors de▯ned above, ▯nd a ▯ (a ▯ b). 5 11.5 What are the symmetric equations of l? 1 6 11.6 What two characteristics uniquely de▯ne a plane? 7 Solutions 7.1 11.1 p 3 3 7.2 11.2 p 14 7.3 11.3 128 7.4 11.4 This will always result in 0. 7.5 11.5 x▯x y▯y z▯z a 0= b0= c0 7.6 11.6 A point on the plane and an equation of a line perpendicular to the plane. 2


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