Free Printable Penilaian harian Vektor Kelas XI By Kimshin

1.

Panjang vektor OA jika O (0, 0, 0) dan A (7, -1, 0)

a)

5

b)

$5\sqrt{2}$

c)

$5\sqrt{3}$

d)

$3\sqrt{2}$

e)

$2\sqrt{3}$

2.

diketahui vektor $\overrightarrow{\ a}\ =i+2j+mk\$ dan $\overrightarrow{\ b}=2i-10j+2k$ . Jika $\overrightarrow{\ a\ }\cdot\overrightarrow{\ b\ }=0$ nilai m adalah ...

a)

18

b)

9

c)

6

d)

3

e)

-16

3.

jika sudut antara vektor $\overrightarrow{\ a}=\left(2,\ 1,\ -3\right)$ dan vektor $\overrightarrow{\ b}=\left(-1,\ 3,-2\right)$ adalah $\alpha$ . besarnya $\alpha=...$

a)

$45\degree$

b)

$60\degree$

c)

$90\degree$

d)

$120\degree$

e)

$150\degree$

4.

diketahui vektor $\overrightarrow{\ a}=\left(1,\ 4\right)\$ dan $\overrightarrow{\ b}=\left(2,\ 3\right)\$ . Vektor $2\overrightarrow{\ a}+3\overrightarrow{\ b}$ bila dinyatakan dalam bentuk vektor basis adalah ...

a)

$3i+7j$

b)

$6i+14j$

c)

$9i+12j$

d)

$8i+17j$

e)

$8i+21j$

5.

diketahui titik A (4, -2) dan B (3, -1) maka vektor AB adalah ...

a)

$\left(1,-1\right)\$

b)

$\left(3,-5\right)\$

c)

$\left(5,-5\right)\$

d)

$\left(-5,\ 5\right)\$

e)

$\left(-1,\ 1\right)\$

6.

$\left|\overrightarrow{\ a}\right|=4$ , $\left|\overrightarrow{\ b}\right|=5$ dan sudut antara vektor $\overrightarrow{\ a}\$ dan $\overrightarrow{\ b}\$ adalah $60\degree$ . maka $\overrightarrow{\ a}\cdot\overrightarrow{\ b}=...$

a)

20

b)

10

c)

$10\sqrt{2}$

d)

$10\sqrt{3}$

e)

$20\sqrt{3}$

7.

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

a)

3

b)

4

c)

7

d)

$\sqrt{2}$

e)

$\sqrt{3}$

8.

$\overrightarrow{\ u}=3i-k$ diubah ke vektor baris, yaitu ...

a)

$\left(3,\ -1\right)\$

b)

$\left(3,\ 0,-1\right)\$

c)

$\left(3,\ -1,\ 0\right)\$

d)

$\left(3,\ 1\right)\$

e)

$\left(3,\ 0,\ 1\right)\$

9.

$\overrightarrow{\ p}=\left(5,\ -1\right)$ maka $2\overrightarrow{\ p}=...$

a)

$\left(5,-1\right)\$

b)

$\left(10,-2\right)\$

c)

$\left(10,-1\right)\$

d)

$\left(5,-2\right)\$

e)

$\left(10,\ 2\right)\$

10.

$\overrightarrow{\ a}=2i+5j$ dan $\overrightarrow{\ b}=i-2j$ maka $\overrightarrow{\ a}\cdot\overrightarrow{\ b}=...$

a)

-8

b)

8

c)

12

d)

-12

e)

-6

11.

$\overrightarrow{\ a}=9i-2j-22k$ dan $\overrightarrow{\ b}=-i+8j-2k$ maka $\overrightarrow{\ a}+\overrightarrow{\ b}=...$

a)

$10i-10j-20k$

b)

$8i-10j-24k$

c)

$8i-6j+24k$

d)

$8i+6j-24k$

e)

$10i-6j+20k$

12.

$\overrightarrow{\ a}=3i+j+k$ dan $\overrightarrow{\ b}=2i+5j+k$ . Proyeksi skalar ortogonal a pada b adalah ...

a)

$\frac{12}{\sqrt{30}}$

b)

$\frac{12}{\sqrt{16}}$

c)

$\frac{12}{30}$

d)

$\frac{12}{16}$

e)

$\frac{12}{\sqrt{11}}$

13.

$\overrightarrow{\ a}=3i+j+k$ dan $\overrightarrow{\ b}=2i+5j+k$ . Proyeksi vektor ortogonal a pada b adalah

a)

$\frac{12}{30}\left(2i+5j+k\right)\$

b)

$\frac{12}{16}\left(2i+5j+k\right)\$

c)

$\frac{12}{11}\left(2i+5j+k\right)\$

d)

$\frac{12}{30}\left(3i+j+k\right)\$

e)

$\frac{12}{11}\left(3i+j+k\right)\$

14.

$\overrightarrow{\ c}=\left(0,\ -18,\ 10\right)$ ubah ke vektor basis

a)

$-18i+10j$

b)

$-18j+10k$

c)

$-18i+10k$

d)

$18j+10k$

e)

$18i+10j$

15.

$P\left(-2,\ 10\right)$ dan $Q\left(-14,\ -6\right)$ maka panjang vektor $\overrightarrow{PQ}$ adalah ...

a)

12

b)

14

c)

15

d)

18

e)

20

Penilaian harian Vektor Kelas XI By Kimshin

Total questions: 15

Worksheet time: 1hrs 5mins

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