Quiz about KUIS VEKTOR MAT 02

Question 1

Gambar di samping berikut menunjukkan bahwa $$\overrightarrow{a}+\overrightarrow{b}\ +\overrightarrow{c}\ =\ ...$$

Accepted Answer

$$2\overrightarrow{c}$$

Answer

$$\overrightarrow{b}$$

Answer

$$\overrightarrow{c}$$

Answer

$$2\overrightarrow{a}$$

Answer

$$2\overrightarrow{b}$$

Question 2

Diketahui vektor $$\overrightarrow{u}=5\overrightarrow{i}-3\overrightarrow{j}$$ dan $$\overrightarrow{v}=2\overrightarrow{i}+\overrightarrow{j}$$ . Hasil dari $$2\overrightarrow{u}+7\overrightarrow{v}$$ adalah ...

Accepted Answer

$$24\overrightarrow{i}+\overrightarrow{j}$$

Answer

$$-4\overrightarrow{i}+\overrightarrow{j}$$

Answer

$$24\overrightarrow{i}-13\overrightarrow{j}$$

Answer

$$-4\overrightarrow{i}+13\overrightarrow{j}$$

Answer

$$24\overrightarrow{i}+13\overrightarrow{j}$$

Question 3

Diketahui titik A(-5, 8) dan B (4, 2). Titik P terletak pada $$\overrightarrow{AB}$$ sehingga $$\overrightarrow{AP}=\frac{1}{3}\overrightarrow{AB}$$ . Jika $$\overrightarrow{p}$$ vektor posisi titik P, $$\overrightarrow{p}=...$$

Accepted Answer

$$-2\overrightarrow{i}+6\overrightarrow{j}$$

Answer

$$2\overrightarrow{i}-6\overrightarrow{j}$$

Answer

$$6\overrightarrow{i}-2\overrightarrow{j}$$

Answer

$$-6\overrightarrow{i}+2\overrightarrow{j}$$

Answer

$$2\overrightarrow{i}+6\overrightarrow{j}$$

Question 4

Diketahui vektor $$\overrightarrow{a}=2\overrightarrow{i}+3\overrightarrow{j}$$ dan $$\overrightarrow{b}=\overrightarrow{i}-2\overrightarrow{j}$$ . Panjang vektor $$\overrightarrow{a}+2\overrightarrow{b}=...$$

Accepted Answer

$$\sqrt[]{17}$$

Answer

$$\sqrt[]{5}$$

Answer

$$\sqrt[]{10}$$

Answer

$$\sqrt[]{13}$$

Answer

$$\sqrt[]{19}$$

Question 5

Diketahui vektor $$\overrightarrow{u}=4\overrightarrow{i}-7\overrightarrow{j}$$ dan $$\overrightarrow{v}=5\overrightarrow{i}+3\overrightarrow{j}$$ . Hasil kali skalar antara vektor $$\overrightarrow{u}$$ dan $$\overrightarrow{v}$$ adalah ...

Accepted Answer

-1

Answer

3

Answer

2

Answer

1

Answer

-2

Question 6

Diketahui titik A (7, -2) , B (3, 1), dan C (-5, 3). Kosinus sudut antara $$\overrightarrow{AB}$$ dan $$\overrightarrow{AC}$$ adalah ...

Accepted Answer

$$\frac{63}{65}$$

Answer

$$\frac{56}{65}$$

Answer

$$\frac{33}{65}$$

Answer

$$-\frac{33}{65}$$

Answer

$$-\frac{63}{65}$$

Question 7

Diketahui dua vektor $$\overrightarrow{a}=-8\overrightarrow{i}+6\overrightarrow{j}$$ dan $$\overrightarrow{b}=3\overrightarrow{i}+x\overrightarrow{j}$$ . Kedua vektor itu saling tegak lurus. Nilai x adalah ...

Accepted Answer

4

Answer

5

Answer

3

Answer

2

Answer

1

Question 8

Diketahui vektor $$\overrightarrow{u}=6\overrightarrow{i}+8\overrightarrow{j}$$ dan $$\overrightarrow{v}=\overrightarrow{i}+3\overrightarrow{j}$$ . Jika sudut antara vektor $$\overrightarrow{u}$$ dan $$\overrightarrow{v}$$ adalah 60 derajat, maka hasil dari $$\overrightarrow{u}\cdot\overrightarrow{v}$$ adalah...

Accepted Answer

9

Answer

18

Answer

15

Answer

12

Answer

6

Question 9

Diketahui titik A(5, - 2), B (1, -5), dan C (2, 1). Proyeksi skalar ortogonal vektor $$\overrightarrow{AB}$$ pada vektor $$\overrightarrow{AC}$$ adalah ...

Accepted Answer

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

Answer

$$\frac{3}{5}$$

Answer

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

Answer

$$\frac{21}{5}$$

Answer

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

Question 10

Diketahui vektor $$\overrightarrow{a}=2\overrightarrow{i}-2\overrightarrow{j}$$ dan $$\overrightarrow{b}=3\overrightarrow{i}+4\overrightarrow{j}$$ , proyeksi skalar ortogonal vektor $$\overrightarrow{a}$$ pada vektor $$\overrightarrow{b}$$ adalah ...

Accepted Answer

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

Answer

$$-\frac{2}{5}$$

Answer

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

Answer

$$\frac{2}{5}$$

Answer

$$\frac{4}{5}$$

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