Scalar product dot product - PowerPoint PPT Presentation
16.360 Lecture 13
16.360 Lecture 13. Basic Laws of Vector Algebra. Scalars:. e.g. 2 gallons, $1,000, 35 ºC. Vectors:. e.g. velocity: 35mph heading south 3N force toward center. 16.360 Lecture 13. Cartesian coordinate system. z. A. . y. . x. 16.360 Lecture 13.
By peri
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1. VECTOR. 2006. 9. 류승택. Vectors. Super number Made up of two or more normal numbers, called components Vector a super number is associated with a distance and direction Vector ( 벡터 ) Direct descendants of complex numbers Complex number( 복소수 ) : a + b i (i = sqrt(–i) )
By ganya
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Physics for informatics. Lecture 1 Introduction , vector calculus, functions of more variables, differential equations. Ing. Jaroslav J í ra , CSc. Introduction. Lecturers: prof. Ing. Stanislav Pekárek, CSc., pekarek@fel.cvut.cz , room 49A
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Lecture 1 Introduction , vector calculus, functions of more variables,
Physics for informatics. Lecture 1 Introduction , vector calculus, functions of more variables,. Ing. Jaroslav J í ra , CSc. Introduction. Lecturers: prof. Ing. Stanislav Pekárek, CSc., pekarek@fel.cvut.cz , room 49A Ing. Jaroslav Jíra, CSc., jira@fel.cvut.cz , room 42.
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Dot Product (Scalar Product). This product of two vectors results in a scalar quantity. You multiply one vector by the component of the second vector that is parallel to the first vector. If A = B : We use the same rules when multiplying a vector by itself.
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T5.2 - Scalar (Dot) Product of Vectors. IB Math SL1 - Santowski. (A) Review. Operations with Vectors: (1) Add/subtract (2) multiply by scalar (3) HOW do you multiply vectors (if it even means anything in the first place????). (B) Work (Mini physics lesson).
Scalar Product
Scalar Product. Scalar / Dot Product of Two Vectors. Product of their magnitudes multiplied by the cosine of the angle between the Vectors. Orthogonal Vectors. Angular Dependence. Scalar Product. Scalar Product of a Vector with itself ? A . A = | A || A | cos 0 º = A 2. Scalar Product.
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Dot Product. Cross Product. De Moivre’s Theorem. DeMoivre's Theorem is true even if n is a complex number (has a real part and possibly an imaginary part), but when n is an integer we can prove the formula easily by using some basic trigonometry. Determinant of a Matrix.
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Scalar product proof. b l. q. b. a. q. a l. b l = b Cos q b Sin q. a l = a 0. a l . b l = (a*b Cos q ) + (0 * b Sin q ). So a l . b l = abCos q. Since a . b = a l . b l. Then a . b = a b Cos q.
DOT PRODUCT
DOT PRODUCT. Today’s Objective : Students will be able to use the dot product to: a) determine an angle between two vectors, and, b) determine the projection of a vector along a specified line. In-Class Activities : Check Homework Reading Quiz Applications / Relevance
DOT PRODUCT
Today’s Objective : Students will be able to use the vector dot product to: a) determine an angle between two vectors, and, b) determine the projection of a vector along a specified line. DOT PRODUCT. In-Class Activities : Check Homework Reading Quiz Applications / Relevance
Dot Product
Dot Product. Cross Product. De Moivre’s Theorem. DeMoivre's Theorem is true even if n is a complex number (has a real part and possibly an imaginary part), but when n is an integer we can prove the formula easily by using some basic trigonometry. Determinant of a Matrix.
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Dot Product. This slideshow will be a review on the Dot Product of two vectors. Definition. The Dot Product of vectors A and B is defined as A · B = | A | | B | cos Θ. B. A. A. Θ. B. Simple Example of Dot Product. A. B. From the given Vectors:. A = 6 i + 8 j. y. B = 8 i.