Last updated on Sep 21, 2026

Vectors in 2 Dimensions (Edexcel A-Level Mathematics): Flashcards

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Problem Solving using Vectors

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How to find point $D$ in parallelogram $ABCD$ ?

$D = A + (C - B) = (2i + j) + (-2i - 2j) = 0 - i$ .

What is the position vector of $D$ ?

$D = (0, -1)$ or $D = 0i - 1j$ .

What defines parallel vectors?

They are multiples of each other in direction.

What is the definition of a rectangle?

A 4-sided shape with parallel sides and right angles.

What is a parallelogram?

A 4-sided shape with two pairs of parallel sides.

How can you determine if two vectors are parallel?

Two vectors are parallel if one is a scalar multiple of the other.

How to prove $ABCD$ is a parallelogram?

Show $AB=CD$ and $BC=AD$ as equal vectors.

What gradients prove $ABCD$ is not a rectangle?

Grad $(BC) = 1$ and Grad $(CD) = -1/4$ ; not perpendicular.

What defines a rhombus?

A shape with four sides of equal length.

What proves ABCD has no right angles?

Gradients show lines are not perpendicular.

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