Vectors (AQA GCSE Maths): Quizzes

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Vectors
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What two properties does a vector have?

Magnitude and direction

In column vector (37)\begin{pmatrix} 3 \\ 7 \end{pmatrix}, what does the top number represent?

Horizontal movement

What happens to a vector when you multiply it by a scalar?

Length changes, direction stays same

If vector b\textbf{b} points north, which direction does -b\textbf{-b} point?

South

Calculate (35)+(42)\begin{pmatrix} 3 \\ 5 \end{pmatrix} + \begin{pmatrix} 4 \\ 2 \end{pmatrix}

(77)\begin{pmatrix} 7 \\ 7 \end{pmatrix}

Using the triangle law, where does the resultant vector start and end?

Start of first to end of second

Calculate 3×(24)3 \times \begin{pmatrix} 2 \\ 4 \end{pmatrix}

(612)\begin{pmatrix} 6 \\ 12 \end{pmatrix}

In geometry problems, what does going backwards along a vector mean?

Use the negative form

What is true about opposite sides of a parallelogram?

They are parallel and equal vectors

If vector a\textbf{a} has length 6 units, what is the length of 12a\frac{1}{2}\textbf{a}?

3 units

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