Vectors Use and calculate with vectors If you

Vectors Use and calculate with vectors. If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key vocabulary Horizontal Vertical Vector Scalar Direction Co-ordinates Point Parallel Magnitude Equivalent

Vectors are written in column vector form. Top number: horizontal. Positive = right Negative = left Bottom number: vertical. Positive = up Negative = down

Vectors A vector has magnitude and direction. All these vectors are equal; unlike co -ordinates, the location of a vector doesn’t matter.

Calculating with vectors Add vectors by adding top and bottom numbers separately.

Calculating with vectors Multiply vectors by a scalar. Remember to multiply top and bottom numbers. What does this do to the journey? Journeys will be parallel; here, the second is three times as long as the first.

Calculating with vectors C B D A Points will always be labelled with capital letters. What do the following vector calculations tell you about the shape ABCD? In vector terms, AD is equivalent to AB, followed by BC then CD AD is parallel to, and three times as long, as BC. ABCD is a trapezium.

Calculating with vectors practice (1) Find the labelled vectors and add them together 1 2 3 4 5 6 Click a diagram to see the calculation, or click Show all

Calculating with vectors practice (2)

Exam style question (1)

Exam style question (2) & (3) 3 a a+b a-b =

Vectors algebra Where the vector is not known, or is given in a generalised form, vector algebra is used. Vectors are printed in bold, lower case (for example, a) and you should handwrite them as usual, underlining the vector (for example, a ) Points will be written using capital letters. Some standard constructions a a+b a b−a b a 2 a

Vectors algebra practice Express, in terms of a and/or b Get the Pac Man to the red dot U a+b T b −a P S 2 b a b−a Q R PUb UR 2 a UP−b UT a + b TS a PS 2(a + b) ST −a PR 2 a + b RT b − a US 2 a + b TQ− 2 b SP− 2(b + a) Click a translation to see the vector, or click Show all

Exam style question (3) b−a 1 a 2 – 2 b

Vectors problem solving B A 20 cm C D