Algebraic vector notation | Maths | Quizalize & Oak National Academy

Starter quiz

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

A vector has direction only.

A vector has magnitude only.

A vector has magnitude and direction. ✓

A vector has neither magnitude nor direction.
Find the resultant vector of $4 {2\choose -3}+3{-1 \choose 2}$ .

${-5\choose -6}$

${5\choose -6}$ ✓

${5\choose 6}$

${-5\choose 6}$
Find the resultant vector of $4 {2\choose -3}-3{-1 \choose 2}$ .

${5\choose -18}$

${5\choose -6}$

${11\choose -6}$

${11\choose -18}$ ✓
You are given that $5 {-1\choose 2}- a{-2 \choose 4} = {-1 \choose 2}$ . The value of $a$ is ______.

'2' ✓
Which of these diagrams can be used to illustrate ${12\choose -8}-2 {4 \choose 1}$ ?
You are given that $3 {-1\choose5}+k{2 \choose-3} = {1 \choose y}$ . The value of $y$ is ______.

'9' ✓

Exit quiz

Match each statement to the correct notation.

$\overrightarrow{OB}$

⇔

A vector starting from $O$ and ending at $B$ ✓

$OB$

⇔

A line segment with points $O$ and $B$ at each end ✓

$\overrightarrow{BO}$

⇔

A vector starting from $B$ and ending at $O$ ✓

$(0, b)$

⇔

A point with an $x$ -coordinate of 0 and a $y$ -coordinate of $b$ ✓

$(b,0)$

⇔

A point with an $x$ -coordinate of $b$ and a $y$ -coordinate of 0 ✓
Andeep draws this vector. What is this vector in column form?

${2\choose 3}$ ✓

$(2,3)$

$(3,2)$

${3\choose 2}$
Laura draws this vector. What is this vector in column form?

${6 \choose -1}$ ✓

$(6,-1)$

$(-1,6)$

${1 \choose 6}$

${-1 \choose 6}$
$Jun draws two vectors and their resultant vector. He writes the resultant as <Math>{8 \choose x}</Math>. Work out the value of <Math>x</Math>.$

Jun draws two vectors and their resultant vector. He writes the resultant as ${8 \choose x}$ . Work out the value of $x$ .

1

2 ✓

3

-2

-1
Which of the following vector statements are correct?

${10 \choose -2} + {4 \choose 9}={14 \choose 7}$ ✓

$4{5 \choose 6}={20 \choose 24}$ ✓

$2{2.5 \choose -3.5}={6 \choose -7}$

${-4\choose 10} - {9 \choose 9}={-11\choose 1}$

${4\choose 9} + {-2 \choose -4}={2 \choose 5}$ ✓
Which of the following vector pathways are correct?

$\overrightarrow{AC}=\overrightarrow{AB}+\overrightarrow{BC}$ ✓

$\overrightarrow{FC}=-\overrightarrow{CF}$ ✓

$\overrightarrow{EC}=-\overrightarrow{ED}-\overrightarrow{DC}$

$\overrightarrow{BD}=-\overrightarrow{CB}+\overrightarrow{CD}$ ✓

$\overrightarrow{DF}=\overrightarrow{CD}+\overrightarrow{CF}$

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

A letter can be used to represent a vector.
Each unique vector is assigned a unique letter.

Common misconception

When calculating the resultant vector, pupils can incorrectly sum vectors due to opposite directions or proportions of vectors,

Encourage pupils to write a clear vector pathway: using highlighters can help to visualise this pathway.

Keywords

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.