62_Addition_and_Subtraction_of_Geometric_Vectors

62_Addition_and_Subtraction_of_Geometric_Vectors - Calculus...

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Unformatted text preview: Calculus and Vectors How to get an A+ 6.2 Addition and Subtraction of Geometric Vectors 2010 Iulia & Teodoru Gugoiu - Page 1 of 4 6.2 Addition and Subtraction of Geometric Vectors A Addition of two Vectors The vector addition s r of two vectors a r and b r is denoted by b a r r + and is called the sum or resultant of the two vectors. So: b a s r r r + = B Triangle Rule (Tail to Tip Rule) In order to find the sum (resultant) of two geometric vectors: a) Place the second vector with its tail on the tip (head) of the first vector. b) The sum (resultant) is a vector with the tail at the tail of the first vector and the head at the head of the second vector. C Polygon Rule In order to find the sum (resultant) of n geometric vectors: a) Place the next vector with its tail on the tip (head) of the precedent vector. b) The sum (resultant) is a vector with the tail at the tail of the first vector and the head at the head of the last vector. n v v v s + + + = ... 2 1 r Ex 1. Use the following diagram and the triangle rule compute the required operations. a) b a r r + b) c b r r + c) c a r r + Ex 2. Use the following diagram and the triangle rule compute the required operations. a) c b a r r r + + b) d c b r r r + + c) d c b a r r r r + + + Calculus and Vectors How to get an A+ 6.2 Addition and Subtraction of Geometric Vectors 2010 Iulia & Teodoru Gugoiu - Page 2 of 4 D Parallelogram Rule (Tail to Tail Rule) To add two geometric vectors, the following rule can also be used: a) Position both vectors with their tails at the same point....
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62_Addition_and_Subtraction_of_Geometric_Vectors - Calculus...

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