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A)2D Vector Conversion and Addition b)Vectors on your Calculator c)Vector addition practice d)3D Spherical to Cartesian ENGR 34 Chapter 2, Day 1 2D & 3D.

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Presentation on theme: "A)2D Vector Conversion and Addition b)Vectors on your Calculator c)Vector addition practice d)3D Spherical to Cartesian ENGR 34 Chapter 2, Day 1 2D & 3D."— Presentation transcript:

1 a)2D Vector Conversion and Addition b)Vectors on your Calculator c)Vector addition practice d)3D Spherical to Cartesian ENGR 34 Chapter 2, Day 1 2D & 3D Vectors

2 2D Coordinate Conversion Approach #1 (manual): Keep angles between 0 and 90, sin for opposite, cos for adjacent, do signs yourself. Approach #2 (automatic): Use standard defined angles, (from x axis counter-clockwise), input into calculator.

3 Vector Addition, Component Approach Break each vector into components Add components Convert to polar?

4 Vector Addition, Triangle Approach Construct Parallelogram Apply trigonometry

5 R-P, P-R Calculator Hints Modes: approx, degree, cylindrical Special characters Grab & enter Show steps on HW & Exams

6 Name Game To facilitate collaboration in all your shared classes

7 3D Spherical/Cartesian Avoid equations (no clear trig standard) Keep angles between 0 and 90, Do signs yourself, Notice the pattern Blue angle first: Az = A sin  Ah = A cos  Grey angle next: Ax = A cos  cos  Ay = A cos  sin 

8 2D & 3D Vectors Key Ideas Become calculator experts Avoid extra trig steps (use unit vectors) Be able to derive spherical conversion


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