Digital media
Simple Equations
Test bank chapter 7
Text automatically extracted from attachment below. Please download attachment to view properly formatted document.
---Extracted text from past/chapter_7_4.docx---
how to love
city-State key term card
Dot Product (and Vector Projection)
Vector Algebra ? Vector Addition ? Scalar Multiplication ? How about the product of two vectors? 1. Dot Product ?v ? ?u 2. Cross Product ?v ? ?u Dot Product Take 3-D for example, De?nition If two vectors ?a =< a 1 , a 2 , a 3 > and ?b =< b 1 , b 2 , b 3 >, then the dot product (inner product, scalar product) of ?a and ?b is de?ned as ? a ? ? b = a 1 b 1 + a 2 b 2 + a 3 b 3 Example < 2,?4 > ? < 3, 5 > = ?14 (?i + 2?j ? 4?k) ? (?2?i +?j + 3?k) = ?12 Remark: Dot product gives a scalar. Properties: 1. ?a ??a = a2 1 + a2 2 + a2 3 = |?a|2 2. ?a ? ?b = a 1 b 1 + a 2 b 2 + a 3 b 3 = ?b ??a 3. ?a ? (?b + ?c) = ?a ? ?b +?a ? ?c 4. (c?a) ? ?b = c(a 1 b 1 + a 2 b 2 + a 3 b 3 ) = c(?a ? ?b) = ?a ? (c?b) 5. ?0 ??a = 0
chapter 10 vocAB
Text automatically extracted from attachment below. Please download attachment to view properly formatted document.
---Extracted text from past/chapter_10_vocab.docx---
vocab chapter 8
Second Continental Congress The Second Continental Congress met in Philadelphia on May 10, 1775. Three delegates added to the Congress were Benjamin Franklin, Thomas Jefferson, and John Hancock. The Congress took on governmental duties. (United all the colonies for the war effort.) They selected George Washington as Commander in Chief. They encouraged the colonies to set themselves up as states. On July 4, 1776 they adopted the Declaration of Independence. The Congress ended March 1, 1781 when a Congress authorized by the Articles of Confederation took over. Ethan Allen Led a tiny American force and captured fort Ticonderoga and Crown Point on the scenic lakes of upper New York Benedict Arnold
Chapter 5 Summary American Pageant 13th
Chapter 4 Summary American Pageant 13th
Pages
Need Help?
We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.
For general help, questions, and suggestions, try our dedicated support forums.
If you need to contact the Course-Notes.Org web experience team, please use our contact form.
Need Notes?
While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!