Vectors (Edexcel GCSE Maths): Flashcards

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Vectors
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Two properties that define a vector

Magnitude (size/length) and direction

Vector notation using bold letters example

a, b, c

What does AB\overrightarrow{AB} represent?

Vector from point A to point B

Column vector notation format

(xy)\begin{pmatrix} x \\ y \end{pmatrix}

Effect of scalar multiplication on direction

Direction stays the same

Effect of scalar multiplication on magnitude

Magnitude changes

If aa is a vector, what is 3a3a?

3 times the length, same direction

If aa is a vector, what is 2a-2a?

2 times the length, opposite direction

Properties of negative vector b-b

Same magnitude, opposite direction to bb

Triangle law for adding vectors

Draw end-to-end; resultant from start to final end

Meaning of (xy)\begin{pmatrix} x \\ y \end{pmatrix}

xx units horizontal, yy units vertical

Multiply column vector by scalar - method

Multiply both parts by the scalar

How to add column vectors?

Add top numbers together, add bottom numbers together

Vector property of parallel sides

Opposite sides have equal vectors

Is vector addition commutative?

Yes: a+b=b+aa + b = b + a

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