PPT-A new way of multiplying two vectors is introduced in this

Dot Product Scalar Product Tensor Product Cross Product Angular Product A new way of multiplying two vectors is introduced in this chapter What is it called Dot Product Scalar Product. 1 Motivation A3 A2 Vectors A3 A21 Notational Conventions A4 A22 Visualization A5 A23 Special Vectors A5 A3 Vector Operations A5 A31 Transposition A6 A32 Equality A6 A33 Addition and Subtraction Dr Chris Doran. ARM Research. 1. Geometric Algebra in 2 Dimensions. Introduction. Present GA as a new mathematical technique. Introduce techniques . through . their applications. Emphasise . the . generality and portability . Essential Question: How do we multiply integers? How do we divide integers?. Multiplying Integers . The product of two integers with the same sign is positive.. The product of two integers with different sign is negative.. A . scalar. quantity . can be described by a . single number. , . with some meaningful . unit. 4 oranges. 20 miles. 5 miles/hour. 10 Joules of energy. 9 Volts . Vectors and scalars. A . scalar. quantity . MAFS.3.OA.3.7. Lesson Opening. Solve the two problems below. Write the equation you used to solve the problem.. Jason ate 2 bags of candies. Each bag contained 9 candies. How many candies did Jason eat?. Unit 5.7. Pages 250-253. . . 2.. 3.. 4.. 6. 50. 30. 120 . Warm Up . Problems. Write each fraction in simplest form.. What is ½ of 12. . What is ½ of 100. What is ¼ of 120. What is ¼ of 480. Motivating Question. : An Airplane flies north with an airspeed of 575 mph. If the wind is blowing 30° north of east at 50 mph, what is the speed of the plane as measured from the ground? What if the wind blew south of west?. Any vector can be resized by multiplying it by a real number (scalar).. Multiplying by positive scalar changes magnitude only.. Multiplying by a negative scalar changes the magnitude and its direction.. SOL A.2b. REVIEW. Represent . Polynomials Using Algebra . Tiles. Represent x. 2. 3. 2) Represent x. 2. 4x – 2. . REVIEW. Represent . Polynomials Using Algebra . Tiles. 3) Represent 3x. How does multiplying by a fraction or by a mixed number affect the size of the product?. How can these tiles be used to find 2/3 of 12?. What is 2/3 of 12 markers? . What is 1/3 of 12 markers? . 4. 1. Remember that fractions are parts of a whole or a part of a set of objects. For example, if a bag of apples contains 10 apples and three of the apples are used to make apple tarts, three-tenths, 3/10, of the apples have been used and seven-tenths, 7/10, of the original set of 10 apples remain. . Multiplying Decimals Example: 5.63 x 3.7 5 . 63 3 . 7 x 1 2 4 4 39 0 9 8 1 16 + 1 3 1 8 1 0 1 2 two one three . You do not line up the factors by the decimal. Instead, place the number with more digits on top. A vector is a DNA molecule that has the abil­ity to replicate autonomously in an appropri­ate host cell and into which the gene of inter­est (a foreign genetic sequence) is integrated. When we insert a foreign genetic sequence into the vector the aim is either to obtain numer­ous copies of the gene of interest or to obtain the product of that.. or phages are viruses that specifically infect bacteria. . Viral vectors are those in which gene of interest is incorporated in the genome of virus.. The phage particle attaches to the outer surface of bacterium and injects its DNA into the cell..