CK-12-Pre-Calculus Concepts

7.5. Vector Projection http://www.ck12.org Example C Find the vector projection of vectorv=< 3 , 4 >onto vectoru=< 5 ,− ...

http://www.ck12.org Chapter 7. Vectors The formula for vector projection whereuis the onto vector is: pro juv= (u·v |u| ) u |u|= ...

7.5. Vector Projection http://www.ck12.org The components of the father’s force vector is 100<cos 39◦,sin 39◦>and the “ont ...

http://www.ck12.org Chapter 7. Vectors A 22 pound force that makes an angle of 12◦with an inclined plane is pulling a box up th ...

7.6. References http://www.ck12.org 7.6 References CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-1 ...

http://www.ck12.org Chapter 8. Systems and Matrices CHAPTER 8 Systems and Matrices Chapter Outline 8.1 Systems of Two Equations ...

8.2 Systems of Three Equations and Three Unknowns 8.1 Systems of Two Equations and Two Un- knowns Here you will review how to so ...

http://www.ck12.org Chapter 8. Systems and Matrices Equation 2: 3x− 2 y= 18 Strategically choose to eliminateyby scaling the sec ...

8.1. Systems of Two Equations and Two Unknowns http://www.ck12.org You can substitutexinto the first equation to solve fory. 6 · ...

http://www.ck12.org Chapter 8. Systems and Matrices The point(− 1 ,^15 )is the point of intersection between these two curves. C ...

8.1. Systems of Two Equations and Two Unknowns http://www.ck12.org Solve the following system using elimination: 5 x−y= 22 − 2 ...

http://www.ck12.org Chapter 8. Systems and Matrices Practice Solve each system of equations using the elimination method. 1.x+y= ...

8.2. Systems of Three Equations and Three Unknowns http://www.ck12.org 8.2 Systems of Three Equations and Three Un- knowns Here ...

http://www.ck12.org Chapter 8. Systems and Matrices The following system of equations has the solution (1, 3, 7). You can verify ...

8.2. Systems of Three Equations and Three Unknowns http://www.ck12.org x+ 2 y−z= 0 0 x+y+z= 10 0 x+ 0 y+ 22 z= 154 Step 4: Divid ...

http://www.ck12.org Chapter 8. Systems and Matrices Solution:With four equations and three unknowns there must be at least one d ...

8.2. Systems of Three Equations and Three Unknowns http://www.ck12.org Step 5: Subtract row 2 from row 3. 3 x+ 2 y+z= 7 0 x− 40 ...

http://www.ck12.org Chapter 8. Systems and Matrices 10 dollars. She could also get two onions and one basket of blueberries for ...

8.2. Systems of Three Equations and Three Unknowns http://www.ck12.org You could notice that the third equation is simply the s ...

http://www.ck12.org Chapter 8. Systems and Matrices Show that the following system is dependent: 2 x− 2 y+z= 5 6 x+y− 3 z= 2 4 ...