capa3 - 1 Make sure you understand the difference between a...

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

View Full Document Right Arrow Icon
1) Make sure you understand the difference between a vector and the magnitude of a vector. In the following, consider vectors in 2 dimensions: The magnitude of V 3 = V 1 + V 2 depends on the orientation of the vectors V 1 and V 2 ! Examples: | V 3 |=|V 1 |+|V 2 | | V 3 |=|V 1 |-|V 2 | V 1 V 2 V 2 V 1 V 3 V 3 | V 3 |<|V 1 |+|V 2 | V 2 V 1 V 3 2, 3, 4) Remember: A - B = A + ( - B ) If you know the components Ax, Ay and Bx, By of the vectors A and B , then you get the components Cx and Cy of the vector C = A + B from: Cx = Ax+Bx, and Cy = Ay + By. If you know the components Ax and Ay of a vector A then you know its magnitude | A |: | A | = squareroot of (Ax 2 + Ay 2 ) You know this already from geometry: The ‘Pythagorean relation’: c a b c 2 = a 2 + b 2 (think of a and b as the x and y components of a vector along c with magnitude c) β a b c a = c * cos β (‘a’ is the cozy side of β ) b = c * sin β Use this information to solve problems 2, 3, and 4.
Background image of page 1

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

View Full DocumentRight Arrow Icon
5. Remember: The magnitude of a vector V is the ‘length’ of the vector. Above you find how to calculate the magnitude in 2 dimensions (use the Pythagorean relation | V | = x 2 + y 2 . In 3 dimensions you can simply use | V | = x 2 + y 2 + z 2 (see text book.) If you are given a vector as V = x* i + y* j + z* k , then x,y,z are the x, y, and z components of the vector. The magnitude |
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/07/2010 for the course PHYS 1120 taught by Professor Rogers during the Spring '08 term at Colorado.

Page1 / 4

capa3 - 1 Make sure you understand the difference between a...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online