Presentation is loading. Please wait.

Presentation is loading. Please wait.

100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100.

Published bySolomon Price Modified over 9 years ago

Similar presentations

Presentation on theme: "100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100."— Presentation transcript:

1

2

3 100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100

4 Row 1, Col 1 · 23

5 1,2 Let u=, v=, and w= Find (u·v)w What is ?

6 1,3 The angle between u= and v= What is 22.2°?

7 1,4 Determine whether the vectors are parallel, orthogonal, or neither. U= V= What is orthogonal?

8 2,1 · What is 0?

9 2,2 Let u=, v= Find u·2v What is -28?

10 2,3 The angle between u= and v= What is 135°?

11 2,4 Determine whether the vectors are parallel, orthogonal, or neither. U= V= What is neither?

12 3,1 · What is -6?

13 3,2 Let u=, v=, and w= Find (w·u)v What is ?

14 3,3 The angle between u=2i-3j and v=i-2j What is 7.13°?

15 3,4 Determine whether the vectors are parallel, orthogonal, or neither. U=j V=i-2j What is neither?

16 4,1 · What is -14 ?

17 4,2 Let u= Find u·u What is 10?

18 4,3 The angle between u=4j and v=-3i What is 90°?

19 4,4 Determine whether the vectors are parallel, orthogonal, or neither. U=8i+4j V=-2i-j What is parallel?

20 5,1 · What is 0?

21 5,2 Let u=, v= Find 4u·v What is -56?

22 5,3 The angle between u=-8i+4j and v=-6i-3j What is 53.13°?

23 5,4 What is orthogonal? Determine whether the vectors are parallel, orthogonal, or neither. U= V=

Download ppt "100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100."

Similar presentations

Vectors Maggie Ambrose Maddy Farber. Hook… Component Form of a Vector  If v is a vector in a plane whose initial point is the origin and whose terminal.

Vectors Maggie Ambrose Maddy Farber. Hook… Component Form of a Vector  If v is a vector in a plane whose initial point is the origin and whose terminal.
Dot Product ES: Developing a capacity for working within ambiguity Warm Up: Look over the below properties The dot product of u = and v =

Dot Product ES: Developing a capacity for working within ambiguity Warm Up: Look over the below properties The dot product of u = and v =
Geometry of R2 and R3 Dot and Cross Products.

Geometry of R2 and R3 Dot and Cross Products.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 Section 6.7 Dot Product.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 Section 6.7 Dot Product.
The Dot Product (MAT 170) Sections 6.7

The Dot Product (MAT 170) Sections 6.7
The Dot Product Sections 6.7. Objectives Calculate the dot product of two vectors. Calculate the angle between two vectors. Use the dot product to determine.

The Dot Product Sections 6.7. Objectives Calculate the dot product of two vectors. Calculate the angle between two vectors. Use the dot product to determine.
10.5 The Dot Product. Theorem Properties of Dot Product If u, v, and w are vectors, then Commutative Property Distributive Property.

10.5 The Dot Product. Theorem Properties of Dot Product If u, v, and w are vectors, then Commutative Property Distributive Property.
Section 6.7 The Dot Product. Overview From last section, adding two vectors results in another vector. So also does multiplying a scalar (real number)

Section 6.7 The Dot Product. Overview From last section, adding two vectors results in another vector. So also does multiplying a scalar (real number)
Copyright © 2011 Pearson, Inc. 6.2 Dot Product of Vectors.

Copyright © 2011 Pearson, Inc. 6.2 Dot Product of Vectors.
11.3 The Dot Product of Two Vectors. The dot product of u and v in the plane is The dot product of u and v in space is Two vectors u and v are orthogonal.

11.3 The Dot Product of Two Vectors. The dot product of u and v in the plane is The dot product of u and v in space is Two vectors u and v are orthogonal.
24. Dot Product of Vectors. What you’ll learn about  How to find the Dot Product  How to find the Angle Between Vectors  Projecting One Vector onto.

24. Dot Product of Vectors. What you’ll learn about  How to find the Dot Product  How to find the Angle Between Vectors  Projecting One Vector onto.
6.4 Vectors and Dot Products

6.4 Vectors and Dot Products
6.4 Vectors and Dot Products The Definition of the Dot Product of Two Vectors The dot product of u = and v = is Ex.’s Find each dot product.

6.4 Vectors and Dot Products The Definition of the Dot Product of Two Vectors The dot product of u = and v = is Ex.’s Find each dot product.
Section 9.5: Equations of Lines and Planes

Section 9.5: Equations of Lines and Planes
6.46.4 Dot Product of Vectors. Quick Review Quick Review Solutions.

Dot Product of Vectors. Quick Review Quick Review Solutions.
Angles Between Vectors Orthogonal Vectors

Angles Between Vectors Orthogonal Vectors
Vectors in Space 11.2 JMerrill, 2010. Rules The same rules apply in 3-D space: The component form is found by subtracting the coordinates of the initial.

Vectors in Space 11.2 JMerrill, Rules The same rules apply in 3-D space: The component form is found by subtracting the coordinates of the initial.
Equations of Lines and Planes

Equations of Lines and Planes
Jeopardy! for the Classroom

Jeopardy! for the Classroom
Advanced Precalculus Notes 8.5 The Dot Product The dot product of two vectors is a scalar: If v = 2i – 3j and w = 5i + 3j find: a) v ∙ wb) w ∙ vc) v ∙

Advanced Precalculus Notes 8.5 The Dot Product The dot product of two vectors is a scalar: If v = 2i – 3j and w = 5i + 3j find: a) v ∙ wb) w ∙ vc) v ∙

Similar presentations

Ads by Google