Vectors (AQA GCSE Maths): Quizzes

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Vectors
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What two pieces of information do vectors carry?

Magnitude and direction

In column vector (4−3)\begin{pmatrix} 4 \\ -3 \end{pmatrix}, what does the top number represent?

Horizontal movement, 4 right

In column vector (2−5)\begin{pmatrix} 2 \\ -5 \end{pmatrix}, what does the bottom number mean?

Move 5 units down

What movement does (−37)\begin{pmatrix} -3 \\ 7 \end{pmatrix} describe?

3 left and 7 up

How should you write vector letters in handwritten work?

Underlined

What happens when you multiply a vector by a positive scalar?

Size changes, direction stays same

What happens when you multiply a vector by a negative scalar?

Size changes and direction reverses

What does it mean if two vectors are scalar multiples of each other?

They are parallel

If a=(3−2)\mathbf{a} = \begin{pmatrix} 3 \\ -2 \end{pmatrix}, what is 2a2\mathbf{a}?

(6−4)\begin{pmatrix} 6 \\ -4 \end{pmatrix}

What does vector addition (a+b)(\mathbf{a} + \mathbf{b}) mean?

Go along a\mathbf{a}, then along b\mathbf{b}

Calculate (3−1)+(53)\begin{pmatrix} 3 \\ -1 \end{pmatrix} + \begin{pmatrix} 5 \\ 3 \end{pmatrix}

(82)\begin{pmatrix} 8 \\ 2 \end{pmatrix}

For points X, Y, Z to be collinear, what must be true about XY→\overrightarrow{XY} and YZ→\overrightarrow{YZ}?

One is a scalar multiple of the other

Explore AQA GCSE Maths Revision Notes by Topics

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Explore AQA GCSE Maths Model Answers by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Explore AQA GCSE Maths Flashcards by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Explore AQA GCSE Maths Exam Questions by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

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