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Chapter 5: Vectors. This is a fairly short chapter. We will be taking a brief look at vectors and some of their properties. We will need some of this material in the next chapter and those of you heading on towards Calculus III will use a fair amount of this there as well. Remind Codes Period 1: Pre-Calculus - Text @5203PC1 to 81010. Period 2: Calculus AB - Text @5203Calab2 to 81010. Period 3: Pre-Calculus - Text @5203PC3 to 81010. Calculus and Vectors Gr 11 MaCS Functions Advanced Functions Links Contact Welcome to Ms. Amazing Mathletes! Check out this quick video:D. Powered by Create your own unique website with customizable templates. Home Gr 10 Academic MATH Gr 10 MaCS Calculus and Vectors Gr 11 MaCS Functions Advanced Functions.
Show All NotesHide All NotesChapter 5 : Vectors
This is a fairly short chapter. We will be taking a brief look at vectors and some of their properties. We will need some of this material in the next chapter and those of you heading on towards Calculus III will use a fair amount of this there as well.
Here is a list of topics in this chapter.
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Basic Concepts – In this section we will introduce some common notation for vectors as well as some of the basic concepts about vectors such as the magnitude of a vector and unit vectors. We also illustrate how to find a vector from its starting and end points.
Vector Arithmetic – In this section we will discuss the mathematical and geometric interpretation of the sum and difference of two vectors. We also define and give a geometric interpretation for scalar multiplication. We also give some of the basic properties of vector arithmetic and introduce the common (i), (j), (k) notation for vectors.
Dot Product – In this section we will define the dot product of two vectors. We give some of the basic properties of dot products and define orthogonal vectors and show how to use the dot product to determine if two vectors are orthogonal. We also discuss finding vector projections and direction cosines in this section.
Cross Product – In this section we define the cross product of two vectors and give some of the basic facts and properties of cross products.
Show Mobile NoticeShow All NotesCalculus And Vectors 12 Pdf
Hide All NotesChapter 5 : Vectors
Vector Calculus Problems
This is a fairly short chapter. We will be taking a brief look at vectors and some of their properties. We will need some of this material in the next chapter and those of you heading on towards Calculus III will use a fair amount of this there as well.
Here is a list of topics in this chapter.
Basic Concepts – In this section we will introduce some common notation for vectors as well as some of the basic concepts about vectors such as the magnitude of a vector and unit vectors. We also illustrate how to find a vector from its starting and end points.
Vector Arithmetic – In this section we will discuss the mathematical and geometric interpretation of the sum and difference of two vectors. We also define and give a geometric interpretation for scalar multiplication. We also give some of the basic properties of vector arithmetic and introduce the common (i), (j), (k) notation for vectors.
Calculus And Vectorsms. Ma's Website Login
Dot Product – In this section we will define the dot product of two vectors. We give some of the basic properties of dot products and define orthogonal vectors and show how to use the dot product to determine if two vectors are orthogonal. We also discuss finding vector projections and direction cosines in this section.
Calculus And Vectorsms. Ma's Website Number
Cross Product – In this section we define the cross product of two vectors and give some of the basic facts and properties of cross products.
