Fluency in arithmetic procedures with vectors | Maths

Starter quiz

Which of the following statements about a scalar quantity is correct?

A scalar has direction only.

A scalar has magnitude only. ✓

A scalar has magnitude and direction.

A scalar has neither magnitude nor direction.
$The vector <Math>k {2 \choose 4}</Math> represents the displacement A to B. The value of <Math>k</Math> is <span class="blank">______</span>.$

The vector $k {2 \choose 4}$ represents the displacement A to B. The value of $k$ is ______.

'2' ✓
The diagram shows the vector a. Which of the following shows −0.25a?
Match each scalar and vector to the resultant vector.

$3{12\choose8}$

⇔

$36\choose 24$ ✓

$-6{-6\choose4}$

⇔

$36\choose -24$ ✓

$2{-18\choose-12}$

⇔

$-36\choose -24$ ✓

$-3{12\choose-8}$

⇔

$-36\choose 24$ ✓
You are given that $-3 {4 \choose -6}= {a \choose b}$ . Find the value of $a$ and of $b$ .

$a=12$

$a=-12$ ✓

$b=-6$

$b=18$ ✓

$b=-18$
You are given that $x {8 \choose y}={24 \choose -15}$ . Find the value of $x$ and of $y$ .

$x=-3$

$x=3$ ✓

$y=-15$

$y=-5$ ✓

$y=5$

The distance from the starting point when measured in a straight line is called the ______.

'displacement' ✓
Find the resultant vector of $3 {2\choose -3}+4{-1 \choose 2}$ .

${-2\choose 1}$

${2\choose 1}$

${-2\choose -1}$

${2\choose -1}$ ✓
Find the resultant vector of $3 {2\choose -3}-4{-1 \choose 2}$ .

${10\choose 1}$

${10\choose -1}$

${10\choose -17}$ ✓

${2\choose 17}$

${2\choose -17}$
You are given that $5 {-1\choose 2}- a{-2 \choose 4} = {1 \choose -2}$ . The value of $a$ is ______.

'3' ✓
Which of these diagrams can be used to illustrate $4{3\choose -2}+2 {-4 \choose -1}$ ?
You are given that $2 {-1\choose5}+k{2 \choose-3} = {4 \choose y}$ . The value of $y$ is ______.

'1' ✓

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When using operations with vectors, pupils do not use the priority of operations.

The priority of operations applies to all calculations.

Vector - A vector can be used to describe a translation.
Displacement - Displacement is the distance from the starting point when measured in a straight line.
Resultant vector - A resultant vector is the single vector that produces the same effect as a combination of other vectors.