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Lesson 10 – Vectors in 3 Space

Lesson 10 – Vectors in 3 Space. August 13, 2013. Learning Goals. 1.4 Recognize that points and vectors in three-space can both be represented using Cartesian coordinates, and determine the distance between two points

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Lesson 10 – Vectors in 3 Space

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  1. Lesson 10 – Vectors in 3 Space August 13, 2013

  2. Learning Goals • 1.4Recognize that points and vectors in three-space can both be represented using Cartesian coordinates, and determine the distance between two points • 2.1Perform the operations of addition, subtraction, and scalar multiplication on vectors represented as directed line segments in two space, and on vectors represented in Cartesian form in two-space and three-space.

  3. Vectors in 3 Dimensions

  4. Unit Vectors

  5. Geometric Vectors in Cartesian Plane • Distinguish between the notation of (a, b, c) vs. [a, b, c] vs. <a, b, c> • Cartesian Vector Between Two Points

  6. FBD and Finding the Net Force • Draw all the forces acting on the object • Represent the object of interest a single dot • Then represent the FBD as a Cartesian plane and connect all the tails at the origin, and specify directions • Resolve each force into components (along the iand j directions) • To find the net force resultant add the i components together, and the j components together • To find the magnitude, use Pythagorean theorem • To measure the angle, use the tan ratio

  7. Forces Problem

  8. Required Before Next Class • Read Section 6.5, Section 6.6, and Section 6.7 from Nelson Textbook • Section 7.1 # 1, 2, 6, 7, 17, 18, 21 • Section 7.4 # 1, 3, 5, 6, 10, 12, 13, 14

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