# Calculus III

 What is a position Vector? A vector that's tail is at the origin and Head is at some point (V1, V2) What is the Position Vector of points Q(-2,1) and U(6,5)? The position vector is with the tail at the origin (0,0) and head at (8,4) Find two vectors that are both parallel and 3times the magnitude/length of V. V= Two vectors parallel to V are How can a Vector be Orthogonal to another? Two vectors can be Orthogonal if and only if U⋅V = 0 What are the two forms of the DOT product?  What are the properties of the DOT Product? U⋅V = V⋅U  Commutative propertyC(U⋅V) = (CU)⋅V = U⋅(CV)  Associative propertyU⋅(V+W) = U⋅V+U⋅W  Distributive property 1. If you have projection U onto V (ProjVU) how would you represent the length of the projection? 2. What would the vector created by the projection then be represented by? (Magnitude ⋅ Direction) 1. also known as the scaler comp 2. NOTE: may need to sub out using DOT product equations. What is a UNIT Vector? 1.) Equation of a Sphere? 2.) Equation of a Ball? 1. 2. What is the distance formula for 3D space? Mid point formula in 3D? If you are given Point P and point M, what is vector ?  Vector Operations? Vector Addition Vector Subtraction Scaler Mult. When C is a constant. What is the magnitude of a Vector? The Length of the vector is the distance from P to Q therefore mag. is Authorgotbordom ID232944 Card SetCalculus III DescriptionCalculus III Terms / Equations Updated2013-09-10T04:54:34Z Show Answers