Column vectors | Maths | Quizalize & Oak National Academy

Starter quiz

A vector is used to describe which transformation?

'translation' ✓
Match each vector to the displacement it describes.

$-2\choose-3$

⇔

2 left, 3 down ✓

$2\choose-3$

⇔

2 right, 3 down ✓

$2\choose3$

⇔

2 right, 3 up ✓

$-2\choose3$

⇔

2 left, 3 up ✓
Which is the correct vector to translate the tail to the correct place on the elephant?

$-2\choose3$

$2\choose3$

$2\choose-3$

$-2\choose-3$ ✓
Which is the correct vector to translate A to A'?

$2\choose-4$

$2\choose4$ ✓

$4\choose2$

$-2\choose-4$
Which is the correct vector to translate A to A'?

$-1\choose3$

$1\choose3$

$-3\choose-1$

$3\choose1$

$-1\choose-3$ ✓
Translate shape ABC by $4\choose1$ .

Exit quiz

A vector is a straight line from the start to end point and covers the ______ distance.

'shortest' ✓
A vector has ______ (size) and direction.

'magnitude' ✓
Which is the correct graphical representation of this vector? $4\choose-3$
$The diagram shows the column vector <Math>a\choose-5</Math>. The value of <Math>a</Math> is <span class="blank">______</span>.$

The diagram shows the column vector $a\choose-5$ . The value of $a$ is ______.

'0' ✓
$The diagram shows the column vector <Math>a\choose-1</Math> represents. The value of <Math>a</Math> is <span class="blank">______</span>.$

The diagram shows the column vector $a\choose-1$ represents. The value of $a$ is ______.

'6' ✓
Match each vector to its best starting region.

$8\choose-5$

⇔

Top left ✓

$-8\choose-5$

⇔

Top right ✓

$-8\choose5$

⇔

Bottom right ✓

$8\choose5$

⇔

Bottom left ✓

Worksheet

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Video

Lesson Details

Key learning points

When translating, the entire shape moves.
Although the point moves, the journey is not drawn.
A vector can be drawn to show this journey.
The vector is a straight line from the start to end point and covers the shortest distance.
The top value is the distance left/right, the bottom value is the distance up/down.

Common misconception

When describing the movement of vectors, "across" is used to describe a horizontal movement.

Embed the understanding that "across" refers to the horizontal component, but the direction must be described concisely as a vector has direction and magnitude.

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.
Vertex - A vertex is the point where two or more line segments meet. The plural is vertices.