Vector Applications Vectors IRL October 7,2015. Vector Voyage Send your resource manager to grab each member of your team a copy of the Vector Voyage.

Slides:

Advertisements

Similar presentations

Planes in three dimensions

Advertisements

Parallel Lines, Perpendicular Lines and Intersections Aims: To know how to recognise parallel and perpendicular lines. To be able to find points of intersection.

L ESSON 30 – I NTERSECTION OF L INES September 10, 2013 Fernando Morales.

Solving systems of linear equations. Get 7.1B and a piece of graph paper Get out 6.4 so I can check it for group points. Copy the below information onto.

Solving System of Equations Using Graphing

Chapter 13 Vector Applications Contents:

The student will be able to:

Slide Systems of Linear Equations A system of linear equations consists two or more linear equations.

Solve systems of equations by graphing.

Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.

3.1: Solving Linear Systems by Graphing Group 4.  Get two variables, (x,y), to correctly come out of two equations  ax+by=c  dx+ey=f  Check whether.

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Revision videos. Finding Angles between Lines With lines instead of vectors, we have 2 possible angles. We usually give the acute angle.  We use the.

Chapter 7 Determine the Relationship of a System of Equations 1/4/2009 Algebra 2 (DM)

Mathematics. Session Three Dimensional Geometry–1(Straight Line)

Specialist Maths Vectors and Geometry Week 4. Lines in Space Vector Equation Parametric Equations Cartesian Equation.

P. 58 #10 – 19 (pick 4) # (pick 6).

Objective The student will be able to: solve systems of equations using substitution. SOL: A.9.

This line is called a transversal.

Vectors (9) Lines in 3D Lines in 3D Angle between skew lines Angle between skew lines.

3.1 System of Equations Solve by graphing. Ex 1) x + y = 3 5x – y = -27 Which one is the solution of this system? (1,2) or (-4,7) *Check (1,2)Check (-4,7)

Monday, March 23 Solve system of linear equations by graphing. Check consistency and dependency of system of equations by graphing.

EXAMPLE 2 Solve a system with many solutions Solve the system. Then classify the system as consistent and independent,consistent and dependent, or inconsistent.

3.6 Solving Absolute Value Equations and Inequalities

Section 3.2 Connections to Algebra.  In algebra, you learned a system of two linear equations in x and y can have exactly one solution, no solutions,

3.7 Absolute value DAY 2. Solve for x----no notes on this slide (just watch). |x| = 5 |x + 2| = 5 x = 5 or x = -5 x + 2 = 5 or x + 2 = -5 x =

Solving 2 step equations pick up a pink, yellow and green highlighter.

Solving a System of Equations in Two Variables By Graphing Chapter 8.1.

Solving Linear Systems of Equations by Substitution Section 3.2, Part I.

EXAMPLE 4 Solve linear systems with many or no solutions Solve the linear system. a.x – 2y = 4 3x – 6y = 8 b.4x – 10y = 8 – 14x + 35y = – 28 SOLUTION a.

Vectors and the Geometry of Space Section 10.4 Lines and Planes in Space 2015.

3.1 Graphing Systems of Equations Objective – To be able to solve and graph systems of linear equations. State Standard – 2.0 Students solve systems of.

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

1.1 The row picture of a linear system with 3 variables.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 4.1 Solving Systems of Equations in Two Variables by Graphing.

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.4 – SOLVING ABSOLUTE VALUE EQUATIONS Unit 1 – First-Degree Equations and Inequalities.

Extended Work on 3D Lines and Planes. Intersection of a Line and a Plane Find the point of intersection between the line and the plane Answer: (2, -3,

Vectors in space Two vectors in space will either be parallel, intersecting or skew. Parallel lines Lines in space can be parallel with an angle between.

Absolute Value Equations

Bell Ringer Solve each for x.

To find the solution of simultaneous equations graphically: 1)

Special Types of Linear Systems

3.5 Parallel and Perpendicular Lines

7.4 - The Intersection of 2 Lines

Movable lines class activity.

Solving Systems of Equations with Substitution

5-Minute Check Lesson 1-5A

The student will be able to:

Linear Systems.

Solving Systems Equations in Three Variables

7.1 System of Equations Solve by graphing.

By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are.

The student will be able to:

Solving Two-Step Equations

Solving Systems by Graphing

Lesson 3 – 6 Perpendicular and Distance

Systems of Equations Solving by Graphing.

The student will be able to:

9.6 Solving Systems of Equations by Graphing

SIMULTANEOUS EQUATIONS 1

4 minutes Warm-Up Graph. 1) 2) 3).

Warm-Up 1) Sketch a graph of two lines that will never intersect.

Solving Systems of Equations

Systems of Linear Equations: An Introduction

7.1 Solving Systems of Equations

The student will be able to:

Simultaneous Equations

Chapter 6 Study Guide Task

Presentation transcript:

Vector Applications Vectors IRL October 7,2015

Vector Voyage Send your resource manager to grab each member of your team a copy of the Vector Voyage worksheet and your supply case. Each person needs to pick three colors (they do not have to be green, blue & red) You have 20 minutes as a team to complete this task. If you get stuck send your communications manager to check the answers by the document camera. Resource Manager Communication Manager Participation Manager Task Manager stopwatch.com/bomb- countdown/full-screen/

Vector Operations

Vector Operations Cont. a.Hannah wants to swim directly across the canal to point B. i.At what angle should Hannah aim to swim in order that the current will correct her direction? ii.What will Hannah’s actual speed be?

Lines in 2-D & 3-D

Lines in 2-D

Practice

Lines in 3-D

Practice

The Angle Between Two Lines Absolute Value  Magnitude

Practice

Do Now

Constant Velocity

Practice

More Practice

The Shortest Distance From a Line to a Point

Practice

CW: 13E page # 5-7

Intersecting Lines Vector equation of two intersecting lines can be solved simultaneously to find the point where the lines meet.

Practice CW: 13F page 336 #4-5

Relationships Between Lines Line Classifications in 2-D Intersecting: one point of intersection, has a unique solution. Parallel: lines do not meet, has zero solutions. Coincident: the same line, has infinitely many solutions.

If the lines are skew we suppose one line is translated to intersect with the other.

Practice

CW: 13G page 340 #1 e-g