I can represent the multiplication visually by drawing the vector. - - PDF document

National 5 Slides WB 29th Jan Vectors Continued

Starter 1) Find the magnitude of the vector b. b = 2) If a = find the value of a + b. 3 7

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Multiplying a Vector Today we are learning... How to multiply a vector by a scalar. I will know if I have been successful if... I understand what a scalar is. I can multiply a vector by a scalar. I can represent the multiplication visually by drawing the vector.

National 5 Slides WB 29th Jan Vectors Continued

Example 1 a) Calculate the magnitude of b = b) Calculate 2b. c) Calculate 2b 5 12 Example 2 a) Calculate the magnitude of v = b) Calculate 3v. c) Calculate 3v

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National 5 Slides WB 29th Jan Vectors Continued

Page 28 Question 6 Page 31 Question 5

Starter Let g = and f = a) Calculate g + 2f b) Calculate g + 2f 2 5

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National 5 Slides WB 29th Jan Vectors Continued

Vector Journeys Today we are learning... What vector journeys are and how we represent them. I will know if I have been successful if... I can use the correct notation to illustrate vector journeys. I can represent journeys in terms of vectors. I can consider both adding and subtracting vectors. Vector Journeys Express the following journeys in terms of the a and b. P Q R S b a a) SP b) SQ c) RS

National 5 Slides WB 29th Jan Vectors Continued

Vector Journeys Express the following journeys in terms of the c, d and e. c d e X Y W Z a) XY b) XZ c) WY

Page 32 and 33 Vector Journeys in 2D Part 1 Part 2

National 5 Slides WB 29th Jan Vectors Continued

Starter Let p = and n = a) Calculate 2n - p b) Calculate 2n - p 2 5

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Vectors in 3 Dimensions Today we are learning... How to write vectors in 3D and calculate their magnitude. I will know if I have been successful if... I can write vectors in 3 components. I know which order to write the components. I can calculate the magnitude of a vector in 3 dimensions.

National 5 Slides WB 29th Jan Vectors Continued

2 Dimensions x y 3 Dimensions x y z

National 5 Slides WB 29th Jan Vectors Continued

3 Dimensions x y z a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude. A 4 5 8

3 Dimensions x y z A 7 3 8 a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude.

National 5 Slides WB 29th Jan Vectors Continued

3 Dimensions x y z A a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude.

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Application Booklets Pages 34 - 37