Vectors - Adding two angle magnitude vectors Contents: The basic concept Step by step Sample problem.

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Presentation transcript:

Vectors - Adding two angle magnitude vectors Contents: The basic concept Step by step Sample problem

Vectors - AM + AM - Basics TOC A: B: Suppose you had to add these two vectors

Vectors - AM + AM - Basics TOC A: B: Graphically you would place them tip to tail: A + B

Vectors - AM + AM - Basics TOC A: B: The components of the sum are the sum of the components. A + B

Vectors - AM + AM - Step 1 TOC A: B: Step 1: Break them into components

Vectors - AM + AM - Step 1 TOC A: B: Step 1: A = 3 x + 7 y B = 4 x + 2 y

Vectors - AM + AM - Step 2 TOC A: B: Step 2: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y Add like components

Vectors - AM + AM - Step 3 TOC Step 3: A = 3 x + 7 y B = 4 x + 2 y A+B= 7 x + 9 y Find the new AM vector A + B 7 9 tan -1 (9/7) = 52 o  ( ) = 11

8.19, 120. o W Add these two angle magnitude vectors, and express their sum as an angle magnitude vector. Draw the resultant vector, and find its trig angle o 7.00 A B o 1. AM to VC AM to VC 2. VC + VC 3. AM to VC A = x y B = x y A + B = x y