Modelling involving Numerical Methods (AQA A-Level Mathematics): Quizzes

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Basic Vectors
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What two properties do vectors have?

Magnitude and direction

What is the magnitude of the vector (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix}?

55

What is (25)+(3−1)\begin{pmatrix} 2 \\ 5 \end{pmatrix} + \begin{pmatrix} 3 \\ -1 \end{pmatrix}?

(54)\begin{pmatrix} 5 \\ 4 \end{pmatrix}

What does multiplying by a positive scalar change in a vector?

Magnitude but not direction

What formula gives the vector from point AA to point BB?

AB→=B−A\overrightarrow{AB} = B - A

Find AB→\overrightarrow{AB} from A(14)A\begin{pmatrix} 1 \\ 4 \end{pmatrix} to B(52)B\begin{pmatrix} 5 \\ 2 \end{pmatrix}.

(4−2)\begin{pmatrix} 4 \\ -2 \end{pmatrix}

What does a position vector tell you?

How to get from the origin to a point

What is the magnitude of a unit vector?

11 unit

How do you find a unit vector parallel to (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix}?

Divide by its magnitude

What does (52)\begin{pmatrix} 5 \\ 2 \end{pmatrix} mean in terms of movement?

Move 55 in x direction, then 22 in y

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Modelling involving Numerical Methods

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Solving Equations

Modelling involving Numerical Methods

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