62_Addition_and_Subtraction_of_Geometric_Vectors

62_Addition_and_Subtraction_of_Geometric_Vectors - Calculus...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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 + + +
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern