Free Printable ULANGAN HARIAN VEKTOR

1.

Perhatikan gambar diatas.

Diketahui jajar genjang ABCD, vektor AB = u dan AD = v.

Nyatakan vektor SA dalam u dan v.

a)

$-\frac{1}{2}\overrightarrow{u}+\frac{1}{2}\overrightarrow{v}$

b)

$\frac{1}{2}\overrightarrow{u}-\overrightarrow{v}$

c)

$\frac{1}{2}\overrightarrow{u}-\frac{1}{2}\overrightarrow{v}$

d)

$-\frac{1}{2}\overrightarrow{u}-\overrightarrow{v}$

e)

$-\frac{1}{2}\overrightarrow{u}+\overrightarrow{v}$

2.

$Diketahui\ \overrightarrow{u}=7\overrightarrow{i}-6\overrightarrow{j}\ dan\ \overrightarrow{v}=-4\overrightarrow{i}+2\overrightarrow{j}.\$
$Tentukan\ nilai\ \overrightarrow{u}+\overrightarrow{v.}$

a)

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

b)

$3\overrightarrow{i}-4\overrightarrow{j}$

c)

$-11\overrightarrow{i}-8\overrightarrow{j}$

d)

$-3\overrightarrow{i}+8\overrightarrow{j}$

e)

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

3.

$Diketahui\ vektor\ \overrightarrow{a}=\left(3,-1\right)\ dan\ \overrightarrow{b}=\left(5,\ 10\right).$
$Tentukan\ panjang\ vektor\ \left|\overrightarrow{a}-\overrightarrow{b}\right|.$

a)

$\sqrt{125}$

b)

$\sqrt{185}$

c)

$\sqrt{164}$

d)

$\sqrt{132}$

e)

$\sqrt{170}$

4.

$Diketahui\ titik\ P\left(3,-2,\ 4\right),\ Q\left(1,\ 3,-2\right),\ dan\ R\left(x,\ 2,\ 4\right).$ $Vektor\ \overrightarrow{a}\ mewakili\ \overrightarrow{PQ},\ dan\ \overrightarrow{b}\ mewakili\ \overrightarrow{PR}.$
$Jika\ \left|\overrightarrow{PR}\right|=\left|\overrightarrow{PQ}\right|,\ tentukan\ nilai\ x.$

a)

2 atau 10

b)

8 atau -6

c)

4 atau -10

d)

6 atau -8

e)

10 atau -4

5.

$Koordinat\ titik\ O\ membagi\ garis\ hubung\ A\left(12,\ 8,\ 2\right)\ dan\ B\left(4,\ 0,\ 2\right)\ didalam\ dengan\ perbandingan\ 3:1.$ $Tentukan\ koordinat\ titik\ O.$

a)

(9, 12, 6)

b)

(8, 12, 2)

c)

(10, 6, 2)

d)

(16, 2, 2)

e)

(12, 8, 4)

6.

Diketahui vektor a = (2, -3, 4), b = (5, 2, 0), c = (-4, 3, 1). Tentukan 2a + b - c.

a)

(5, -7, 9)

b)

(5, 8, 7)

c)

(13, 11, 9)

d)

(10, 8, -4)

e)

(13, -7, 7)

7.

$Diketahui\ vektor\ \overrightarrow{p}=\left(x,\ 4,\ 7\right)\ dan\ \overrightarrow{q}=\left(6,\ y,\ 14\right).$ $Tentukan\ nilai\ x-y,\ jika\ vektor\ \overrightarrow{p}\ dan\ \overrightarrow{q}\ segaris.$

a)

-5

b)

6

c)

-7

d)

8

e)

-9

8.

$Koordinat\ titik\ S\ membagi\ garis\ hubung\ A\left(12,\ 8,\ 2\right)\ dan\ B\left(4,\ 0,\ 2\right)\ diluar$ $dengan\ perbandingan\ 3\ :\ 1.\ Tentukan\ koordinat\ titik\ S.$

a)

(-10, 8, 7)

b)

(12, -2, 8)

c)

(16. 12, 2)

d)

(-14, 8, 2)

e)

(10, -4, 8)

9.

Diketahui titik A(4, -5, 2) dan B(2, 0, 2). Tentukan vektor BA.

a)

(-6, 5, 2)

b)

(4, -5, 0)

c)

(6, 5, 2)

d)

(2, -5, 0)

e)

(-4, 5, 2)

10.

Tentukan besar vektor 2a, jika diketahui vektor a = (x, 2, -3).

a)

$\sqrt{2x^{ }-20}$

b)

$\sqrt{4x^2+52}$

c)

$\sqrt{4x^{ }+20}$

d)

$\sqrt{2x^2-20}$

e)

$\sqrt{4x^2-52}$

ULANGAN HARIAN VEKTOR

Total questions: 10

Worksheet time: 37mins

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