Quiz about Penilaian Akhir Tahun Matematika Kelas X Tahun 2022_2023

Question 1

Berikut ini, bentuk vektor yang bersesuaian dengan vektor pada gambar adalah ...

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 2

Diketahui koordinat titik P(2, -3) dan titik Q(7, 1). Vektor posisi $$\overrightarrow{PQ}$$ ditentukan oleh ...

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Answer

E.

Question 3

Diketahui koordinat titik A(1, 2, -1) dan titik B(3, -3, 1). Vektor posisi $$\overrightarrow{AB}$$ ditentukan oleh ...

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 4

Diketahui vektor $$\overrightarrow{u}$$ seperti gambar di samping. Panjang vektor $$\overrightarrow{u}$$ adalah ...

Accepted Answer

2

Answer

$$\sqrt[]{10}$$

Answer

3

Answer

$$\sqrt[]{3}$$

Answer

1

Question 5

Diketahui vektor $$\overrightarrow{v}$$ seperti pada gambar disamping. Panjang vektor tersebut adalah ...

Accepted Answer

5 $$\sqrt[]{2}$$

Answer

2 $$\sqrt[]{5}$$

Answer

2 $$\sqrt[]{3}$$

Answer

3 $$\sqrt[]{2}$$

Answer

4 $$\sqrt[]{2}$$

Question 6

Diketahui vektor a seperti pada gambar di samping. Vektor satuannya adalah ...

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 7

Vektor satuan dari vektor $$\overrightarrow{u}$$ di samping adalah ...

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

Question 8

Nilai dari 2u + 4v adalah ...

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Answer

E.

Question 9

Nilai dari $$\left|\overrightarrow{u}\right|^2$$ adalah ...

Accepted Answer

184

Answer

180

Answer

176

Answer

$$2\sqrt[]{46}$$

Answer

$$2\sqrt[]{44}$$

Question 10

Diketahui vektor a dan b seperti pada gambar. Jika c = a + b, maka nilai dari |c| adalah ...

Accepted Answer

3 $$\sqrt[]{2}$$

Answer

4

Answer

4 $$\sqrt[]{3}$$

Answer

5 $$\sqrt[]{2}$$

Answer

10

Question 11

Nilai dari $$\overrightarrow{u}-\overrightarrow{v}$$ adalah ...

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

Question 12

Hasil dari $$2\overrightarrow{a}+3\overrightarrow{b}$$ adalah ...

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

Question 13

Jika diketahui vektor a = 4i - j + 2k dan b = 4i - 2j - 5k, maka panjang vektor a - 2b adalah ...

Accepted Answer

13

Answer

$$5\sqrt[]{5}$$

Answer

$$\sqrt[]{11}$$

Answer

$$2\sqrt[]{11}$$

Answer

$$\sqrt[]{13}$$

Question 14

Hasil dari $$\overrightarrow{a}\cdot\overrightarrow{b}$$ adalah ...

Accepted Answer

30

Answer

35

Answer

25

Answer

20

Answer

15

Question 15

Hasil dari $$\overrightarrow{u}\cdot\overrightarrow{v}$$ adalah ...

Accepted Answer

16

Answer

28

Answer

24

Answer

20

Answer

12

Question 16

Cosinus sudut antara vektor $$\overrightarrow{a}$$ dan vektor $$\overrightarrow{b}$$ adalah ...

Accepted Answer

$$\frac{1}{14}\sqrt[]{2}$$

Answer

$$-\frac{1}{14}\sqrt[]{2}$$

Answer

$$-\frac{1}{7}\sqrt[]{2}$$

Answer

$$\frac{1}{7}\sqrt[]{2}$$

Answer

$$\frac{1}{14}\sqrt[]{5}$$

Question 17

$$Diketahui\ ׀a⃗׀=8,׀b⃗׀=2$$
$$dan\ ϴ=45^o.Tentukan\ a⃗.b⃗!$$

Accepted Answer

$$8√2$$

Answer

$$18√2$$

Answer

$$16√2$$

Answer

$$16√3$$

Answer

$$8√3$$

Question 18

$$Diketahui\ a⃗=i+2j+2k,$$ $$b⃗=-3i-j-2k.\ Tentukan\ a⃗.b⃗!$$

Accepted Answer

$$-9$$

Answer

$$9$$

Answer

$$1$$

Answer

$$-1$$

Answer

$$-6$$

Question 19

Diketahui koordinat titik K(2,3) dan Titik L(-3,7). Vektor $$\overrightarrow{KL}$$ adalah .....

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Answer

E.

Question 20

Dikatehui $$\overrightarrow{a}$$ = 5i + 7j dan $$\overrightarrow{b}$$ = -6i + 2j maka

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

Accepted Answer

Answer

-i + 9j

Answer

11i + 5j

Answer

-11i + 9j

Answer

5i + 11j

Question 21

Jika kosinus sudut antara vektor $$\overrightarrow{a}$$ dan $$\overrightarrow{b}$$ adalah $$\frac{1}{3}$$ , maka nilai p adalah ...

Accepted Answer

4 atau 24

Answer

-4 atau 24

Answer

4 atau -24

Answer

-4 atau -24

Answer

-4 atau -14

Question 22

Diketahui vektor $$\overrightarrow{u}=$$ 2i - 6j dan vektor $$\overrightarrow{v}$$ = -i + 4j . Jika $$\overrightarrow{c}$$ merupakan proyeksi ortogonal vektor $$\overrightarrow{u}$$ pada $$\overrightarrow{v}$$ , dengan panjang $$\overrightarrow{c}$$ dirumuskan seperti pada gambar, maka panjang $$\overrightarrow{c}$$ adalah ...

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 23

Diketahui vektor $$\overrightarrow{a}$$ =3i + j +2k dan $$\overrightarrow{b}$$ = i - 2j - 4k. Jika $$\overrightarrow{c}$$ merupakan proyeksi ortogonal vektor $$\overrightarrow{a}$$ pada vektor $$\overrightarrow{b}$$ , maka komponen vektor $$\overrightarrow{c}$$ adalah ...

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Answer

E.

Question 24

Diketahui titik A(5, 3), B(-2, 1), dan C(3, -4). Hasil dari $$\overrightarrow{AC}-\overrightarrow{CB}$$ adalah ...

Accepted Answer

3i - 12j

Answer

-3i + 12j

Answer

7i - 2j

Answer

-7i + 2j

Answer

-3i -2j

Question 25

Diketahui $$\left|\overrightarrow{a}\right|$$ =2 $$\sqrt[]{5}$$ dan vektor satuan $$\overrightarrow{e}$$ =( $$\frac{1}{\sqrt[]{5}}$$ , $$\frac{2}{\sqrt[]{5}}$$ ). Bentuk vektor $$\overrightarrow{a}$$ adalah ...

Accepted Answer

2i + 4j

Answer

-2i + 4j

Answer

2i - 4j

Answer

4i - 2j

Answer

4i + 2j

Question 26

Diketahui vektor $$\overrightarrow{a}$$ = 2i + 3j, vektor $$\overrightarrow{b}$$ = 3i + 9j, dan vektor $$\overrightarrow{c}$$ = $$\overrightarrow{a}$$ + $$\overrightarrow{b}$$ . Vektor satuan dari vektor $$\overrightarrow{c}$$ adalah ...

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Answer

E.

Question 27

Amati gambar!

Berdasarkan gambar tersebut menunjukkan $$\overrightarrow{a}$$ + $$\overrightarrow{b}$$ + $$\overrightarrow{c}$$ = ...

Accepted Answer

2 $$\overrightarrow{c}$$

Answer

$$\overrightarrow{b}$$

Answer

2 $$\overrightarrow{a}$$

Answer

2 $$\overrightarrow{b}$$

Answer

$$\overrightarrow{c}$$

Question 28

Panjang vektor posisi $$\overrightarrow{AB}$$ adalah ...

Accepted Answer

3 $$\sqrt[]{5}$$

Answer

4 $$\sqrt[]{5}$$

Answer

5 $$\sqrt[]{5}$$

Answer

5 $$\sqrt[]{3}$$

Answer

$$\sqrt[]{5}$$

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