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 . 3 b = 7 -2 2) If a = find the value of a + b . 8 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 5 a) Calculate the magnitude of b = 12 b) Calculate 2 b . c) Calculate 2 b Example 2 -3 a) Calculate the magnitude of v = 1 b) Calculate 3 v . c) Calculate 3 v

National 5 Slides WB 29th Jan Vectors Continued Page 28 Question 6 Page 31 Question 5 Starter -9 2 Let g = and f = 0 5 a) Calculate g + 2f b) Calculate g + 2f

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 b Q P in terms of the a and b . a a) SP b) SQ S R c) RS

National 5 Slides WB 29th Jan Vectors Continued Vector Journeys e Z Express the following journeys W in terms of the c, d and e . d a) XY b) XZ X c) WY Y c Page 32 and 33 Vector Journeys in 2D Part 1 Part 2

National 5 Slides WB 29th Jan Vectors Continued Starter -9 2 Let p = and n = 0 5 a) Calculate 2 n - p b) Calculate 2 n - p 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 y x 3 Dimensions z y x

National 5 Slides WB 29th Jan Vectors Continued 3 Dimensions a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude. z A y 8 5 x 4 3 Dimensions a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude. z y 3 x 7 8 A

National 5 Slides WB 29th Jan Vectors Continued 3 Dimensions a) Write down the coordinates of the point A and the components of the vector OA. b) Calculate the vectors magnitude. z y A 3.5 5 x -1.5 Application Booklets Pages 34 - 37