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Mathematics 1229A/B Lecture Notes - Lecture 1: Parallelogram Law, Parallelogram

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28 Sep 2018

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Western University

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Mathematics 1229A/B

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MATH 1229A/B verified notes

Mathematics 1229A/B Lecture Notes - Lecture 1: Parallelogram Law, Parallelogram

Mathematics 1229A/B Lecture Notes - Lecture 2: Unit Vector

Mathematics 1229A/B Lecture Notes - Lecture 3: Parallelogram, Dot Product, Cross Product

Document Summary

Math 1229 lecture 1 - introduction to vectors. Note vectors are represented with bolded letters (i. e. u, v, w, etc. ) Equality: two vectors are equal if they have the same length and direction. Same length and same direction = equal vectors. Same length and different direction = not equal vectors. Copy u, move v to start where u stopped. Redraw the triangle to start at the same point. Sum = where the vector starts to where the vector ends. Sum = where the vector starts to the far corner of the parallelogram. Vectors that are scalar multiples are parallel (colinear) on the same line. A vector in 2-space is an ordered pair (a,b) of real numbers. A vector in 3-space is an ordered triple (a,b,c) of real numbers. Equality in 3-space: two vectors are equal if their corresponding components are equal. Scalar multiplication: multiply each component by the scalar. Subtraction: u v = u + (-1)v.

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Related Questions

General Math Terms A product B. digit C. numeral D. compass E. equation F. formula G. negative H. sum I. mean J. statistics K. positive L. percent M. straight-edge N. squareroot O. quotient P. prime numbers Q. difference R. addend S. minuend T. divisor Greater than zero: plus. A number being added to another number. A mathematical sequence whose verb is equal (=). The result of addition. The number doing the dividing in a division problem. An instrument used to construct straight lines. A mathematical expression of a natural law. The result of multiplication. The number from which another number is being subtracted. Any non-negative numeral less than ten. Less than zero: minus. An instrument used to construct circles and arcs of circles. A number that produces another number (it's square) when multiplied by itself. The result of subtraction. A symbol or name of a number. The average: the sum of the elements divided by the number of elements. The result of division. Parts per hundred: hundredths. Natural numbers greater than one that have no other factors except one and themselves. Set of numerical data. Geometry A. chord B. diameter C. radius D. perimeter E. cylinder F. surface area G. right angle H. square I. Hypotenuse J. obtuse angle K. vertex L point M. ray N. bisect O arc P. hexagon Q. pentagon R. polygon S. perpendicular T. rectangle U. rhombus V. triangle W. circumference X cube Y pyramid Z. sphere A six-sided polygon. The common end point of the sides of an angle. An angle measuring more than 90 degree. A long, round object with flat, circular ends. An angle of 90 degree. The side of a right triangle opposite the right angle. The total area of all the surfaces of an object. To multiply a number by itself. A location, the place where two lines cross or intersect. A closed geometric figure made up of three or more line segments. The perimeter of a circle: the distance around a circle. A shape having the same dimensions of length, height, and width. A half-line with a designated end point which extends in only one direction without stopping. A figure having a polygon base and triangular sides which meet in a point at the top. Divide an angle into two equal angles. A part of a circle