Quiz about penilaian harian ruang vektor 3

Question 1

vektor satuan dari vektor $$\overrightarrow{a}$$ =(2,1,-2) adalah ...

Accepted Answer

$$\left(\frac{2}{3},\frac{1}{3},\ -\frac{2}{3}\right)$$

Answer

$$\left(-\frac{2}{3},\ -\frac{1}{3},\frac{2}{3}\right)$$

Answer

$$\left(\frac{2}{4},\frac{1}{4},-\frac{2}{4}\right)$$

Answer

$$\left(-\frac{2}{4},-\frac{1}{4},\frac{2}{4}\right)$$

Answer

$$\left(-\frac{2}{9},-\frac{1}{9},\frac{2}{9}\right)$$

Question 2

jika A(-2,3,5) dan B (4,1,-3) Maka vektot posisi dari $$\overrightarrow{AB}$$ adalah ...

Accepted Answer

(6,-2,-8)

Answer

(-6,2,8)

Answer

(8,2,-6)

Answer

(-8,-2,6)

Answer

(2,4,2)

Question 3

jika titik A(4,-5,2) ,maka panjang vektor posisi dari titik A adalah ...

Accepted Answer

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

Answer

1

Answer

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

Answer

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

Answer

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

Question 4

Diketahui koordinat titik P dan titik Q berturut-turut adalah (4,3,-1) dan (2,1,3) panjang vektor $$\overrightarrow{PQ}$$ sama dengan ...

Accepted Answer

$$\sqrt[]{24}$$

Answer

$$\sqrt[]{6}$$

Answer

$$\sqrt[]{12}$$

Answer

$$\sqrt[]{56}$$

Answer

$$\sqrt[]{68}$$

Question 5

diketahui titik B (-1,1,0) dan C(1,-2,2) Panjang vektor $$\overrightarrow{CB}$$ Adalah ...

Accepted Answer

$$\sqrt[]{17}$$

Answer

$$\sqrt[]{2}$$

Answer

$$\sqrt[]{5}$$

Answer

$$\sqrt[]{9}$$

Answer

$$\sqrt[]{21}$$

Question 6

jika vektor $$\overrightarrow{a}=2\overrightarrow{i}-3\overrightarrow{j}+\overrightarrow{k},$$ maka panjang vektor $$2\overrightarrow{a}$$ adalah ...

Accepted Answer

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

Answer

$$\sqrt[]{14}$$

Answer

$$\sqrt[]{28}$$

Answer

$$2\sqrt[]{28}$$

Answer

$$4\sqrt[]{14}$$

Question 7

jika vektor $$\overrightarrow{b}=2\overrightarrow{i}-4\overrightarrow{k},$$ maka panjang vektor $$-\overrightarrow{b}$$ adalah ...

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\sqrt[]{6}$$

Answer

$$\sqrt[]{21}$$

Question 8

jika koordinat ttik P dan Q berturut turut adalah (-3p,5p,3p) dan (P,-2q,-P)maka panjang $$\overrightarrow{PQ}$$ adalah ...

Accepted Answer

9p

Answer

3p

Answer

8p

Answer

10p

Answer

12p

Question 9

jika vektor $$\overrightarrow{p}=2\overrightarrow{i}+3\overrightarrow{j}\ dan\ \overrightarrow{q}=4\overrightarrow{i}-3\overrightarrow{j}+\overrightarrow{k},\ maka\ nilai\ 2\overrightarrow{p}+4\overrightarrow{q}\ adalah\ ...$$

Accepted Answer

$$20\overrightarrow{i}-6\overrightarrow{j}+4\overrightarrow{k}$$

Answer

$$20\overrightarrow{i}+6\overrightarrow{j}-4\overrightarrow{k}$$

Answer

$$16\overrightarrow{i}+6\overrightarrow{j}+2\overrightarrow{k}$$

Answer

$$16\overrightarrow{i}-6\overrightarrow{j}+2\overrightarrow{k}$$

Answer

$$16\overrightarrow{i}-6\overrightarrow{j}-2\overrightarrow{k}$$

Question 10

Question 10.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Answer

E.

Question 11

Question 11.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 12

Question 12.

Accepted Answer

-2 dan 1

Answer

-2 dan -1

Answer

-2 dan 3

Answer

2 dan -1

Answer

-3 dan 2

Question 13

Question 13.

Accepted Answer

$$2\sqrt[]{37}$$

Answer

$$\sqrt[]{14}$$

Answer

$$\sqrt[]{74}$$

Answer

$$3\sqrt[]{13}$$

Answer

$$4\sqrt[]{14}$$

Question 14

diketahui titik A (3,1,-4), B (3,-4,6). dan C (-1,5,4 ) .titik P membagi $$\overrightarrow{AB}$$ sehingga AP: PB= 3:2. maka vektor yang diwakili oleh $$\overrightarrow{PC}$$ adalah ...

Accepted Answer

Option E is correct

Answer

A.

Answer

B.

Answer

C.

Answer

D.

Question 15

jika $$\overrightarrow{a}=\left(1,2,3\right)\ dan\ \overrightarrow{b}=\left(3,2,1\right)\ maka\ \left(2\overrightarrow{a}\right)\ .\ \left(3\overrightarrow{b}\right)=...$$

Accepted Answer

60

Answer

30

Answer

40

Answer

50

Answer

70

Question 16

jika diketahui $$\left|\overrightarrow{a}\right|=1\ ,\left|\overrightarrow{b}\right|=4,\ dan\ sudut-sudut\ vektor\ \overrightarrow{a\ }dan\ \overrightarrow{b\ }sama\ dengan\ 60\degree,\ $$

$$maka\ \overrightarrow{a.}\left(\overrightarrow{a}+\overrightarrow{b}\right)=...$$

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Answer

5

Question 17

$$sudut\ antara\ vektor\ \overrightarrow{a}=-\overrightarrow{i}+\overrightarrow{j}$$ dan vektor $$\overrightarrow{b}=\overrightarrow{i}-2\overrightarrow{j}+2\overrightarrow{k}$$ Adalah ...

Accepted Answer

$$135\degree$$

Answer

$$30\degree$$

Answer

$$45\degree$$

Answer

$$90\degree$$

Answer

$$120\degree$$

Question 18

vektor $$\overrightarrow{z}$$ adalah proyeksi vektor $$\overrightarrow{x}=\left(-\sqrt[]{3},3,1\right)\ pada\ vektor\ \overrightarrow{y}=\left(\sqrt[]{3},2,3\right)$$ panjang vektor $$\overrightarrow{z}\ adalah\ ...$$

Accepted Answer

$$\frac{3}{2}$$

Answer

$$\frac{1}{6}$$

Answer

1

Answer

$$2$$

Answer

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

Question 19

Question 19.

Accepted Answer

3

Answer

-4

Answer

-3

Answer

4

Answer

6

Question 20

diketahui $$\overrightarrow{a}=\ 3\overrightarrow{i}+\overrightarrow{j}-\ 5\overrightarrow{k}\ dan\ \overrightarrow{b}=\ -\overrightarrow{i}+\ 2\ \overrightarrow{j}-2\overrightarrow{k}$$

proyeksi vektor orthogonal $$\overrightarrow{a\ }pada\ \overrightarrow{b\ }adalah\ ...$$

Accepted Answer

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

Answer

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

Answer

$$-\overrightarrow{i}-2\ \overline{j\ }+2\overrightarrow{k}$$

Answer

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

Answer

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

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