ch2_5_student_notes_Fall2010

ch2_5_student_notes_Fall2010 - 3 D VECTORS(Section 2.5...

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3 – D VECTORS (Section 2.5) Today’s Objectives : a) Represent a 3-D vector in a Cartesian coordinate system. b) Find the magnitude and coordinate angles of a 3-D vector c) Add vectors (forces) in 3-D space In-Class Activities : Applications / Relevance A unit vector 3-D vector terms Adding vectors Questions Examples
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APPLICATIONS How would you calculate the forces in the structure?.
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APPLICATIONS Many problems in real-life involve 3-Dimensional Space. How will you represent each of the cable forces in Cartesian vector form?
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APPLICATIONS (continued) Given the forces in the cables, how will you determine the resultant force acting at D, the top of the tower?
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Characteristics of a unit vector : a) Its magnitude is 1. b) It is dimensionless. c) It points in the same direction as the original vector ( A ). The unit vectors in the Cartesian axis system are i , j , and k . They are unit vectors along the positive x, y, and z axes respectively. For a vector
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This note was uploaded on 12/06/2010 for the course CHEM 141 taught by Professor Freeman during the Spring '10 term at Columbia SC.

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ch2_5_student_notes_Fall2010 - 3 D VECTORS(Section 2.5...

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