EGR 115 Introduction to Computing for Engineers MATLAB Basics 5: Applications – Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers.

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Presentation transcript:

EGR 115 Introduction to Computing for Engineers MATLAB Basics 5: Applications – Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers

Lecture Outline Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers MATLAB Applications  Vector math  Simultaneous Eqns Slide 2 of 11

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers A vector has both magnitude (i.e., length) and direction  E.g., Velocity is a vector and speed is a scalar In a Cartesian coordinate system one can define a vector in terms of the line between two points  Must define which is the start and which is the end Slide 3 of 11

What is the direction of V? MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Slide 4 of What is the magnitude of V? V

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Slide 5 of 11 What can you say about the two vectors (i.e., V and U)? Magnitude? Direction? What can you say about the two vectors (i.e., V and U)? Magnitude? Direction? V U

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Slide 6 of What is the magnitude of V? V

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Vector Addition & Subtraction  Element by element addition/subtraction Vector Multiplication  Dot product: Slide 7 of 11 A scalar!!! A Geometric interpretation?  35 

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Vector Multiplication  Cross product: Slide 8 of 11 A Geometric interpretation? What is a  (axb)?

MATLAB basics Applications: Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Slide 9 of 11

MATLAB basics Applications: Simultaneous Equations Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers Given the simultaneous equations:  We can rewrite the eqns in matrix/vector form as:  Hence, Slide 10 of 11 How can we check our answer?

Next Lecture Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers MATLAB Applications  Debugging in MATLAB Slide 11 of 11