Vectors Learning Outcomes  Understand the difference between a vector and a scalar use vector notation  Add and subtract vectors and use vector diagrams.

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Presentation transcript:

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 A vector has a magnitude and direction. a b (i) a + b (ii) a - b (iii) 2a

Vectors (iv) 2a + 3b (iv) 2a - 2b

Vectors Vectors and Geometry O A B A D B C a b b a 2a2a

Vectors Vectors and Geometry A B D a b C C is the midpoint of line BD Write down in terms of a and 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 O G F H

Express in terms of a or b or both (a) From a point T, below the line OG, a line TG is drawn equal length and parallel to OH. (d)Express in terms of a or b or both (b)(c)

Additional Notes

Vectors  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           Can Revise Do Further Learning Outcomes: At the end of the topic I will be able to