🗊Презентация Introduction to vectors

Категория: Математика
Нажмите для полного просмотра!
Introduction to vectors, слайд №1Introduction to vectors, слайд №2Introduction to vectors, слайд №3Introduction to vectors, слайд №4Introduction to vectors, слайд №5Introduction to vectors, слайд №6Introduction to vectors, слайд №7Introduction to vectors, слайд №8Introduction to vectors, слайд №9Introduction to vectors, слайд №10Introduction to vectors, слайд №11Introduction to vectors, слайд №12Introduction to vectors, слайд №13Introduction to vectors, слайд №14Introduction to vectors, слайд №15Introduction to vectors, слайд №16Introduction to vectors, слайд №17Introduction to vectors, слайд №18Introduction to vectors, слайд №19Introduction to vectors, слайд №20Introduction to vectors, слайд №21Introduction to vectors, слайд №22Introduction to vectors, слайд №23Introduction to vectors, слайд №24Introduction to vectors, слайд №25Introduction to vectors, слайд №26Introduction to vectors, слайд №27Introduction to vectors, слайд №28Introduction to vectors, слайд №29Introduction to vectors, слайд №30Introduction to vectors, слайд №31
Скачать
Вы можете ознакомиться и скачать презентацию на тему Introduction to vectors. Доклад-сообщение содержит 31 слайдов. Презентации для любого класса можно скачать бесплатно. Если материал и наш сайт презентаций Mypresentation Вам понравились – поделитесь им с друзьями с помощью социальных кнопок и добавьте в закладки в своем браузере.

Слайды и текст этой презентации

Слайд 1


Introduction to Vectors Karashbayeva Zh.O.
Описание слайда:
Introduction to Vectors Karashbayeva Zh.O.

Слайд 2


What are Vectors? Vectors are pairs of a direction and a magnitude. We usually represent a vector with an arrow:
Описание слайда:
What are Vectors? Vectors are pairs of a direction and a magnitude. We usually represent a vector with an arrow:

Слайд 3


Vectors in Rn
Описание слайда:
Vectors in Rn

Слайд 4


Multiples of Vectors Given a real number c, we can multiply a vector by c by multiplying its magnitude by c:
Описание слайда:
Multiples of Vectors Given a real number c, we can multiply a vector by c by multiplying its magnitude by c:

Слайд 5


Adding Vectors Two vectors can be added using the Parallelogram Law
Описание слайда:
Adding Vectors Two vectors can be added using the Parallelogram Law

Слайд 6


Combinations These operations can be combined.
Описание слайда:
Combinations These operations can be combined.

Слайд 7


Components To do computations with vectors, we place them in the plane and find their components.
Описание слайда:
Components To do computations with vectors, we place them in the plane and find their components.

Слайд 8


Components The initial point is the tail, the head is the terminal point. The components are obtained by subtracting coordinates of the initial point from those of the terminal point.
Описание слайда:
Components The initial point is the tail, the head is the terminal point. The components are obtained by subtracting coordinates of the initial point from those of the terminal point.

Слайд 9


Components The first component of v is 5 -2 = 3. The second is 6 -2 = 4. We write v = <3,4>
Описание слайда:
Components The first component of v is 5 -2 = 3. The second is 6 -2 = 4. We write v = <3,4>

Слайд 10


Magnitude The magnitude of the vector is the length of the segment, it is written ||v||.
Описание слайда:
Magnitude The magnitude of the vector is the length of the segment, it is written ||v||.

Слайд 11


Scalar Multiplication Once we have a vector in component form, the arithmetic operations are easy. To multiply a vector by a real number, simply multiply each component by that number. Example: If v = <3,4>, -2v = <-6,-8>
Описание слайда:
Scalar Multiplication Once we have a vector in component form, the arithmetic operations are easy. To multiply a vector by a real number, simply multiply each component by that number. Example: If v = <3,4>, -2v = <-6,-8>

Слайд 12


Addition To add vectors, simply add their components. For example, if v = <3,4> and w = <-2,5>, then v + w = <1,9>. Other combinations are possible. For example: 4v – 2w = <16,6>.
Описание слайда:
Addition To add vectors, simply add their components. For example, if v = <3,4> and w = <-2,5>, then v + w = <1,9>. Other combinations are possible. For example: 4v – 2w = <16,6>.

Слайд 13


Unit Vectors A unit vector is a vector with magnitude 1. Given a vector v, we can form a unit vector by multiplying the vector by 1/||v||. For example, find the unit vector in the direction <3,4>:
Описание слайда:
Unit Vectors A unit vector is a vector with magnitude 1. Given a vector v, we can form a unit vector by multiplying the vector by 1/||v||. For example, find the unit vector in the direction <3,4>:

Слайд 14


Special Unit Vectors A vector such as <3,4> can be written as 3<1,0> + 4<0,1>. For this reason, these vectors are given special names: i = <1,0> and j = <0,1>. A vector in component form v = <a,b> can be written ai + bj.
Описание слайда:
Special Unit Vectors A vector such as <3,4> can be written as 3<1,0> + 4<0,1>. For this reason, these vectors are given special names: i = <1,0> and j = <0,1>. A vector in component form v = <a,b> can be written ai + bj.

Слайд 15


Introduction to vectors, слайд №15
Описание слайда:

Слайд 16


Introduction to vectors, слайд №16
Описание слайда:

Слайд 17


Spanning Sets and Linear Independence
Описание слайда:
Spanning Sets and Linear Independence

Слайд 18


Introduction to vectors, слайд №18
Описание слайда:

Слайд 19


Introduction to vectors, слайд №19
Описание слайда:

Слайд 20


Introduction to vectors, слайд №20
Описание слайда:

Слайд 21


Introduction to vectors, слайд №21
Описание слайда:

Слайд 22


Introduction to vectors, слайд №22
Описание слайда:

Слайд 23


Introduction to vectors, слайд №23
Описание слайда:

Слайд 24


Introduction to vectors, слайд №24
Описание слайда:

Слайд 25


Introduction to vectors, слайд №25
Описание слайда:

Слайд 26


Introduction to vectors, слайд №26
Описание слайда:

Слайд 27


EX: Testing for linear independence EX: Testing for linear independence Determine whether the following set of vectors in P2 is L.I. or L.D.
Описание слайда:
EX: Testing for linear independence EX: Testing for linear independence Determine whether the following set of vectors in P2 is L.I. or L.D.

Слайд 28


Basis and Dimension Basis :
Описание слайда:
Basis and Dimension Basis :

Слайд 29


Introduction to vectors, слайд №29
Описание слайда:

Слайд 30


Introduction to vectors, слайд №30
Описание слайда:

Слайд 31


Introduction to vectors, слайд №31
Описание слайда:

Скачать

Похожие презентации
Mypresentation.ru
Загрузить презентацию