Quiz about 23.2. Vectors 1 [IGCSE]

Question 1

What is the column vector of b

Accepted Answer

$$\lceil5\rceil$$

$$\lfloor1\rfloor$$

Answer

$$\lceil1\rceil$$
$$\lfloor5\rfloor$$

Answer

$$\lceil-5\rceil$$
$$\lfloor-1\rfloor$$

Answer

$$\lceil5\rceil$$
$$\lfloor-1\rfloor$$

Question 2

What is the column vector of g

Accepted Answer

$$\lceil0\rceil$$
$$\lfloor-3\rfloor$$

Answer

$$\lceil3\rceil$$
$$\lfloor1\rfloor$$

Answer

$$\lceil0\rceil$$
$$\lfloor3\rfloor$$

Answer

$$\lceil-3\rceil$$
$$\lfloor0\rfloor$$

Question 3

What is the column vector of c

Accepted Answer

$$\lceil2\rceil$$
$$\lfloor-3\rfloor$$

Answer

$$\lceil3\rceil$$
$$\lfloor1\rfloor$$

Answer

$$\lceil-3\rceil$$
$$\lfloor2\rfloor$$

Answer

$$\lceil3\rceil$$
$$\lfloor-3\rfloor$$

Question 4

What translation is described by the given vector?

Accepted Answer

8 left and none up or down

Answer

8 up and non left or right

Answer

8 down and non left or right

Answer

8 right and none up or down

Question 5

What translation is described by the given vector?

Accepted Answer

2 left, 6 down

Answer

2 right, 6 down

Answer

2 left, 6 up

Answer

2 right, 6 up

Question 6

Describe the translation from the shaded shape to shape E.

Accepted Answer

$$\lceil-4\rceil$$

$$\lfloor-4\rfloor$$

Answer

$$\lceil-1\rceil$$

$$\lfloor-2\rfloor$$

Answer

$$\lceil4\rceil$$

$$\lfloor4\rfloor$$

Answer

$$\lceil-4\rceil$$

$$\lfloor-2\rfloor$$

Question 7

Describe the translation from the shaded shape to shape B.

Accepted Answer

$$\lceil5\rceil$$

$$\lfloor2\rfloor$$

Answer

$$\lceil2\rceil$$

$$\lfloor2\rfloor$$

Answer

$$\lceil3\rceil$$

$$\lfloor2\rfloor$$

Answer

$$\lceil4\rceil$$

$$\lfloor3\rfloor$$

Question 8

Given vector a, b and c.

Evaluate $$\overrightarrow{a}+\overrightarrow{c}$$ .

Accepted Answer

$$\lceil1\rceil$$

$$\lfloor11\rfloor$$

Answer

$$\lceil5\rceil$$

$$\lfloor13\rfloor$$

Answer

$$\lceil2\rceil$$

$$\lfloor8\rfloor$$

Answer

$$\lceil7\rceil$$

$$\lfloor7\rfloor$$

Question 9

Given vector a, b and c.

Evaluate $$\overrightarrow{b}-\overrightarrow{a}$$ .

Accepted Answer

$$\lceil1\rceil$$

$$\lfloor-3\rfloor$$

Answer

$$\lceil-1\rceil$$

$$\lfloor3\rfloor$$

Answer

$$\lceil-1\rceil$$

$$\lfloor-3\rfloor$$

Answer

$$\lceil1\rceil$$

$$\lfloor3\rfloor$$

Question 10

Given vector a, b and c.

Evaluate $$\frac{1}{2}\overrightarrow{b}$$ .

Accepted Answer

$$\lceil2\rceil$$

$$\lfloor1\rfloor$$

Answer

$$\lceil6\rceil$$

$$\lfloor10\rfloor$$

Answer

$$\lceil8\rceil$$

$$\lfloor4\rfloor$$

Answer

$$\lceil-1\rceil$$

$$\lfloor3\rfloor$$

Question 11

Given vector a, b and c.

Evaluate $$-2\overrightarrow{a}$$ .

Accepted Answer

$$\lceil-6\rceil$$

$$\lfloor-10\rfloor$$

Answer

$$\lceil-8\rceil$$

$$\lfloor-4\rfloor$$

Answer

$$\lceil1\rceil$$

$$\lfloor3\rfloor$$

Answer

$$\lceil-4\rceil$$

$$\lfloor4\rfloor$$

Question 12

Given vector a, b and c.

Evaluate $$\overrightarrow{b}+2\overrightarrow{c}$$ .

Accepted Answer

$$\lceil0\rceil$$

$$\lfloor14\rfloor$$

Answer

$$\lceil6\rceil$$

$$\lfloor10\rfloor$$

Answer

$$\lceil-1\rceil$$

$$\lfloor17\rfloor$$

Answer

$$\lceil11\rceil$$

$$\lfloor9\rfloor$$

Question 13

Given vector a, b and c.

Evaluate $$\overrightarrow{a}+2\overrightarrow{c}-\overrightarrow{b}$$ .

Accepted Answer

$$\lceil-5\rceil$$

$$\lfloor15\rfloor$$

Answer

$$\lceil-3\rceil$$

$$\lfloor9\rfloor$$

Answer

$$\lceil6\rceil$$

$$\lfloor10\rfloor$$

Answer

$$\lceil13\rceil$$

$$\lfloor3\rfloor$$

23.2. Vectors 1 [IGCSE]

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