MATH 4389 Study Guide - Final Guide: Osculating Plane, Tangent Space, Unit Vector
19 Apr 2017
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Ex: give the equation of a plane that is parallel to the xz-plane that passes through the point (-1, 3, -2). Example: give the equation of the sphere that has a and b as the endpoints of a diameter. A vector is an ordered triple (in space) where addition and multiplication by scalars holds. Vectors have a direction and a length (magnitude or norm). 0 (note: a a + b = b + a (a + b) + c = a + (b + c) Vectors can be multiplied by a scalar: if a = ( The norm of a vector a = ( Two vectors are parallel if a = b for some real number . If >0, then a and b have the same direction. If <0, then a and b have opposite directions. a a a is. Unit vectors are vectors of norm 1. u a a a u has direction a a.
