Presentation is loading. Please wait.

Presentation is loading. Please wait.

Find a vector equation for the line through the points {image} and {image} . 1. 2. {image} 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20.

Published byΝικόλαος Αβραμίδης Modified over 6 years ago

Similar presentations

Presentation on theme: "Find a vector equation for the line through the points {image} and {image} . 1. 2. {image} 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20."— Presentation transcript:

1 Find a vector equation for the line through the points {image} and {image} .
1. 2. {image} 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2 Find an equation of the plane through the points {image} , {image} and {image} .
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3 Find the point at which the line given by the parametric equations below intersects the plane {image} . {image} 1. {image} 2. 3. 4. 5. 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4 Let P be a point not on the line L that passes through the points Q and R.The distance d from the point P to the line L is {image} where {image} . Use this formula to find the distance from the point to the given line. {image} {image} 16.19 13.79 4.36 3.71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Download ppt "Find a vector equation for the line through the points {image} and {image} . 1. 2. {image} 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20."

Similar presentations

Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed.

Vector Equations in Space Accelerated Math 3. Vector r is the position vector to a variable point P(x,y,z) on the line. Point P o =(5,11,13) is a fixed.
Problem Set 2, Problem # 2 Ellen Dickerson. Problem Set 2, Problem #2 Find the equations of the lines that pass through the point (1,3) and are tangent.

Problem Set 2, Problem # 2 Ellen Dickerson. Problem Set 2, Problem #2 Find the equations of the lines that pass through the point (1,3) and are tangent.
Chapter 12 – Vectors and the Geometry of Space

Chapter 12 – Vectors and the Geometry of Space
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Lines Vector Parametrizations.

Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Lines Vector Parametrizations.
Lines and Planes in Space

Lines and Planes in Space
Vectors: planes. The plane Normal equation of the plane.

Vectors: planes. The plane Normal equation of the plane.
Standard Form for the Equation of the Circle

Standard Form for the Equation of the Circle
Section 9.5: Equations of Lines and Planes

Section 9.5: Equations of Lines and Planes
Assigned work: pg. 449 #1abc, 2abc, 5, 7-9,12,15 Write out what “you think” the vector, parametric a symmetric equations of a line in R 3 would be.

Assigned work: pg. 449 #1abc, 2abc, 5, 7-9,12,15 Write out what “you think” the vector, parametric a symmetric equations of a line in R 3 would be.
Eqaution of Lines and Planes.  Determine the vector and parametric equations of a line that contains the point (2,1) and (-3,5).

Eqaution of Lines and Planes.  Determine the vector and parametric equations of a line that contains the point (2,1) and (-3,5).
Assigned work: pg. 433 #1-12 Equation of a line – slope and point or two points BUT NOW we will learn to describe an Equation of a Line by using vectors…………………..

Assigned work: pg. 433 #1-12 Equation of a line – slope and point or two points BUT NOW we will learn to describe an Equation of a Line by using vectors…………………..
10.5 Lines and Planes in Space Parametric Equations for a line in space Linear equation for plane in space Sketching planes given equations Finding distance.

10.5 Lines and Planes in Space Parametric Equations for a line in space Linear equation for plane in space Sketching planes given equations Finding distance.
Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.
The Vector Product. Remember that the scalar product is a number, not a vector Using the vector product to multiply two vectors, will leave the answer.

The Vector Product. Remember that the scalar product is a number, not a vector Using the vector product to multiply two vectors, will leave the answer.
9.1 INTERSECTION OF TWO LINES To find the intersection of two lines L(1) and L(2) :  Write both equations in parametric form. L(1)= (x1,y1,z1) + t(a,b,c)

9.1 INTERSECTION OF TWO LINES To find the intersection of two lines L(1) and L(2) :  Write both equations in parametric form. L(1)= (x1,y1,z1) + t(a,b,c)
Section 3.5 Lines and Planes in 3-Space. Let n = (a, b, c) ≠ 0 be a vector normal (perpendicular) to the plane containing the point P 0 (x 0, y 0, z 0.

Section 3.5 Lines and Planes in 3-Space. Let n = (a, b, c) ≠ 0 be a vector normal (perpendicular) to the plane containing the point P 0 (x 0, y 0, z 0.
Mathematics. Session Three Dimensional Geometry–1(Straight Line)

Mathematics. Session Three Dimensional Geometry–1(Straight Line)
Specialist Maths Vectors and Geometry Week 4. Lines in Space Vector Equation Parametric Equations Cartesian Equation.

Specialist Maths Vectors and Geometry Week 4. Lines in Space Vector Equation Parametric Equations Cartesian Equation.
1.3 Lines and Planes. To determine a line L, we need a point P(x 1,y 1,z 1 ) on L and a direction vector for the line L. The parametric equations of a.

1.3 Lines and Planes. To determine a line L, we need a point P(x 1,y 1,z 1 ) on L and a direction vector for the line L. The parametric equations of a.
Assigned work: pg. 443 #2,3ac,5,6-9,10ae,11,12 Recall: We have used a direction vector that was parallel to the line to find an equation. Now we will use.

Assigned work: pg. 443 #2,3ac,5,6-9,10ae,11,12 Recall: We have used a direction vector that was parallel to the line to find an equation. Now we will use.

Similar presentations

Ads by Google