Problem Solving using Vectors (AQA A-Level Mathematics): Flashcards

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Problem Solving using Vectors
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Opposite sides in parallelogram (vector relation)

Equal vectors, e.g. BC→=AD→\overrightarrow{BC} = \overrightarrow{AD}

Definition of parallel vectors

Vectors in same direction, multiples of each other

Rectangle definition (vectors)

Two pairs of parallel sides and right angles

Parallelogram definition (vectors)

Two pairs of parallel sides

Rhombus definition

Four sides of the same length

Square definition

All four sides equal length and all angles 90°

Vector BC→\overrightarrow{BC} from points BB and CC

BC→=C−B\overrightarrow{BC} = C - B

To prove ABCD is a parallelogram (vector method)

Show opposite sides are equal vectors

Test for perpendicular lines (gradients)

Product of gradients = −1-1

Test for non-perpendicular lines (gradients)

Product of gradients ≠−1\neq -1

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