Quiz about ASESMEN SUMATIF 1

Question 1

Perhatikan gambar berikut dan pernyataan-pernyataan di bawahnya.

(i). $$\overrightarrow{BA}=5\overrightarrow{i}$$

(ii). $$\overrightarrow{AC}=-3\overrightarrow{i}+\overrightarrow{j}$$

(iii). $$\overrightarrow{CB}=4\overrightarrow{i}+3\overrightarrow{j}$$

Pernyataan yang benar adalah ....

Accepted Answer

(iii) saja

Answer

(i) saja

Answer

(ii) saja

Answer

(i) dan (ii)

Answer

(ii) dan (iii)

Question 2

Diketahui koordinat titik A (3, -1, 4), B (-2, 5, 3), dan D (1, 6, -2). Jika vektor $$\overrightarrow{AB}\ =\overrightarrow{CD}$$ , maka vektor posisi titik C adalah ...

Accepted Answer

$$6\overrightarrow{i}-\overrightarrow{k}$$

Answer

$$6\overrightarrow{i}+\overrightarrow{k}$$

Answer

$$-6\overrightarrow{i}-k$$

Answer

$$6\overrightarrow{i}+12\ \overrightarrow{j}+\overrightarrow{k}$$

Answer

$$6\overrightarrow{i}+12\overrightarrow{j}-\overrightarrow{k}$$

Question 3

Jika vektor $$\overrightarrow{a}=3\overrightarrow{i}+\overrightarrow{j\ \ }+2\overrightarrow{k}$$ , $$\overrightarrow{b}=-4\overrightarrow{i}+3\overrightarrow{j\ \ }+5\overrightarrow{k}$$ , dan $$\overrightarrow{c}=3\overrightarrow{i}-2\overrightarrow{j}+2\overrightarrow{k}$$ , maka vektor $$\overrightarrow{a\ }-2\overrightarrow{b}\ +3\overrightarrow{c}\ =...$$

Accepted Answer

$$20\overrightarrow{i}-11\overrightarrow{j}-2\overrightarrow{k}$$

Answer

$$18\overrightarrow{i}-11\overrightarrow{j}+\overrightarrow{k}$$

Answer

$$20\overrightarrow{i}-11\overrightarrow{j}+5\overrightarrow{k}$$

Answer

$$20\overrightarrow{i}-11\overrightarrow{j}-4\overrightarrow{k}$$

Answer

$$24\overrightarrow{i}-11\overrightarrow{j}-2\overrightarrow{k}$$

Question 4

Diketahui segitiga ABC dengan titik A (1, -4), B (4, 3), dan C (2, -5). Hasil $$\overrightarrow{AC\ }\cdot\ \overrightarrow{BC}\ =...$$

Accepted Answer

6

Answer

10

Answer

4

Answer

-6

Answer

-10

Question 5

Diketahui $$\left|\overrightarrow{a}\right|=4,\ \left|\overrightarrow{b}\right|=3$$ , dan $$\angle\ \left(\overrightarrow{a},\ \overrightarrow{b}\right)=45\degree$$ . Hasil $$\overrightarrow{a\ }.\ \overrightarrow{b\ }=...$$

Accepted Answer

$$6\ \sqrt[]{2}$$

Answer

$$12\ \sqrt[]{3}$$

Answer

$$12\ \sqrt[]{2}$$

Answer

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

Answer

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

Question 6

Diketahui $$\overrightarrow{p\ \ }=\overrightarrow{i\ \ }+2\overrightarrow{j\ \ },\ \overrightarrow{q\ }=4\overrightarrow{i\ \ }+2\overrightarrow{j\ },\ dan\ heta\ $$ antara vektor $$\overrightarrow{p\ }\ dan\ \overrightarrow{q\ }$$ . Nilai $$\sin\ heta=...$$

Accepted Answer

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

Answer

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

Answer

$$\frac{3}{4}$$

Answer

$$\frac{9}{16}$$

Answer

$$\frac{5}{13}$$

Question 7

Jika $$\left|\overrightarrow{a\ }\right|=4,\ \left|\overrightarrow{b\ }\right|=6,\ dan\ \left|\overrightarrow{a\ }+\overrightarrow{b\ }\right|=8,\ hasil\ \left|\overrightarrow{a\ }-\overrightarrow{b\ }\right|=...$$

Accepted Answer

$$2\ \sqrt[]{10}$$

Answer

2

Answer

4

Answer

$$2\ \sqrt[]{6}$$

Answer

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

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