1224-unit5 - Notes for Unit : Introduction to Vectors...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Notes for Unit : Introduction to Vectors Introduction to Vectors . What is a vector? A vector is a way of representing a straight line segment by describing the motion of the segment without reference to its speci c endpoints. Examp e Examp e Examp e : In the diagram shown on the le , point A is located at ( , ) , and point B is located at ( , ) . We can describe AB as a motion that travels- units in the x direction, and units in the y direction. We write, AB = - , . e arrow over AB indicates that the motion started at A and ended at B . Well use angle brackets to indicate the coordinates of a vector (although this notation is not universal). Examp e : In this example, AB = , , and CD = , also. ey are di erent line segments , but they represent the same motion , so they have the same vector coordinates. . Determining the coordinates of a vector If we know the points where a vector begins and ends, we can subtract the tail from the head to nd the coordinates of the vector: vector = head- tail Examp e : Point A is located at (- , ) and point B is located at ( , ) . Find the coordinates of AB . So ution: AB = B- A = ,- - , = ,- . Vector Addition and Sca ar Mu tip ication We can add and subtract vectors by adding and subtracting their individual components. We can also multiply a vectorWe can add and subtract vectors by adding and subtracting their individual components....
View Full Document

This note was uploaded on 09/19/2011 for the course ENGE 1114 taught by Professor Twknott during the Fall '06 term at Virginia Tech.

Page1 / 4

1224-unit5 - Notes for Unit : Introduction to Vectors...

This preview shows document pages 1 - 2. Sign up to view the full document.

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