Free Printable vektori test

1.

Za vektore $\ \overrightarrow{b}=\left(1,1,-2\right)\ i\ \overrightarrow{c}=\left(2,-1,3\right)koliko\ je\ \ \overrightarrow{c}\cdot\overrightarrow{b}\ ?$

a)

2

b)

3

c)

-5

d)

-8

2.

Kolika je površina paralelograma konstruisanog nad vektorima $\overrightarrow{a}=\left(2,1,2\right),\overrightarrow{b}=\left(3,2,2\right)$ ?

a)

8

b)

3

c)

6

d)

12

3.

Intenzitet vektora $\ \overrightarrow{a}=\left(4,-7,-3\right)$ je?

a)

12

b)

3

c)

146

d)

$\sqrt{74}$

4.

Mešoviti proizvod vektora $\overrightarrow{a}=\left(2,1,3\right)\ ,\ \overrightarrow{b}=\left(1,1,1\right)\ ,\overrightarrow{c}=\left(7,5,9\right)$ je?

a)

6

b)

24

c)

0

d)

2

5.

Dati su vektori

\overrightarrow{a}=\left(1,1,1\right)\ ,\overrightarrow{b}=\left(0,2,0\right)\

i

\overrightarrow{p}=\alpha\overrightarrow{a}+5\overrightarrow{b}\ \ ,\ \overrightarrow{q}=3\overrightarrow{a}-\overrightarrow{b}

Odredi parametar

\alpha

tako da vektori

\overrightarrow{p},\overrightarrow{q}

budu normalni.

a)

12

b)

3

c)

$\frac{1}{3}$

d)

$-\frac{10}{7}$

6.

Koliki je ugao izmedju vektora $\overrightarrow{a}=\left(8,2,2\right)\ i\ \overrightarrow{b}=\left(4,-4,0\right)$ ?

a)

$30\degree$

b)

$60\degree$

c)

$90\degree$

d)

$120\degree$

7.

Intenzitet vektora $\overrightarrow{a}=\left(5,-2,-3\right)\ je?$

a)

6

b)

0

c)

$\sqrt{38}$

d)

$\sqrt{23}$

8.

$\overrightarrow{a}=\left(4,-3,1\right)\ ,\ \overrightarrow{b}=\left(5,-2,-3\right)\ koliko\ je\ \overrightarrow{a}-\overrightarrow{b}?$

a)

(1,1,2)

b)

(9,-1,-2)

c)

(20,6,-3)

d)

(-1,-1,4)

vektori test

Total questions: 8

Worksheet time: 23mins

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