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Vectors. Learning Outcomes Understand the difference between a vector and a scalar use vector notation Add and subtract vectors and use vector diagrams Know that if one vector is a multiple of the other, they are parallel
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Vectors • Learning Outcomes • Understand the difference between a vector and a scalar use vector notation • Add and subtract vectors and use vector diagrams • Know that if one vector is a multiple of the other, they are parallel • Prove three points lie on the same line by proving they have a common point and that the vectors which compose them are parallel • Understand and use position vectors
Vectors Vectors A vector has a magnitude and direction. a b (ii) a - b (i) a + b (iii) 2a
Vectors Vectors (iv) 2a - 2b (iv) 2a + 3b
Vectors and Geometry Vectors A a O B b a C B b D A 2a
Vectors and Geometry Vectors C is the midpoint of line BD B C a A Write down in terms of a and b: D b
Vectors Exam Question In the diagram below, and represent the vectors 5a and 10b. H is a point on FG such that FH : HG = 1 : 4 F H G O
Express in terms of a or b or both (a) (b) (c) • From a point T, below the line OG, a line TG is drawn equal length and parallel to OH. • Express in terms of a or b or both
Vectors Learning Outcomes: At the end of the topic I will be able to Can Revise Do Further • Understand the difference between a vector and a scalar use vector notation • Add and subtract vectors and use vector diagrams • Know that if one vector is a multiple of the other, they are parallel • Prove three points lie on the same line by proving they have a common point and that the vectors which compose them are parallel • Understand and use position vectors