Quiz about DUM20132 (QUIZ 1) - UNIT 2 VECTOR

Question 1

Vector describe as having both magnitude and direction. Which statement given, can best describe as vector ?

Accepted Answer

A boulder roll down a cliff in 10 miles/h

Answer

The temperature of the ice tea is $$2\degree C$$

Answer

Distance between the shop and the road is 750 meters

Answer

Because of the heatwave, the watertank lose about 30 gallons of water

Question 2

Which of the following function is WRONG ?

Accepted Answer

$$\overrightarrow{AB}=\overrightarrow{AO}+\overrightarrow{BO}$$

Answer

$$\overrightarrow{AO}=-\overrightarrow{OA}$$

Answer

$$\overrightarrow{AB}=\overrightarrow{AO}+\overrightarrow{OB}$$

Answer

$$\overrightarrow{AB}=-\overrightarrow{OA}+\overrightarrow{OB}$$

Question 3

Based on the given diagram, $$\overrightarrow{AB}=a$$ and $$\overrightarrow{BC}=b$$ . Dtermine the value of $$\overrightarrow{CA}$$ :

Accepted Answer

$$\overrightarrow{CA}=-\left(a+b\right)$$

Answer

$$\overrightarrow{CA}=a+b$$

Answer

$$\overrightarrow{CA}=a-b$$

Answer

$$\overrightarrow{CA}=-a+b$$

Question 4

The 3-D vector, $$\overrightarrow{A}=\left(1\ \ \ \ \ \ 0\ \ -2\right)$$ can be written as:

Accepted Answer

$$\overrightarrow{A}=i-2k$$

Answer

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

Answer

$$\overrightarrow{A}=i-2j$$

Answer

$$\overrightarrow{A}=j-2k$$

Question 5

Given, $$\overrightarrow{p}=4i-3j$$ and $$\overrightarrow{q}=-i+2j$$ . Find the value for, $$\overrightarrow{p}-\overrightarrow{q}$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Find the magnitude of vector, $$\overrightarrow{B}=3i-2j+5k$$ .

Accepted Answer

$$\left|\overrightarrow{B}\right|=\sqrt[]{38}$$

Answer

$$\left|\overrightarrow{B}\right|=\sqrt[]{30}$$

Answer

$$\left|\overrightarrow{B}\right|=\sqrt[]{36}$$

Answer

$$\left|\overrightarrow{B}\right|=\sqrt[]{42}$$

Question 7

Given the vector of, $$\overrightarrow{x}=\left(2\ \ \ \ 4 ight)$$ . Find the direction of $$\overrightarrow{x}$$ by using this formula: $$ an heta=\frac{Ry}{Rx}$$ .

Accepted Answer

$$ heta=63.43\degree$$

Answer

$$ heta=26.56\degree$$

Answer

$$ heta=33.69\degree$$

Answer

$$ heta=61.69\degree$$

Question 8

If, $$\overrightarrow{a}=\left(4\ \ \ 2\right)$$ and $$\overrightarrow{b}=\left(0\ \ 1\right)$$ . Find the scalar / dot product of $$a\cdot b$$ .

Accepted Answer

$$a\cdot b=2$$

Answer

$$a\cdot b=1$$

Answer

$$a\cdot b=4$$

Answer

$$a\cdot b=6$$

Question 9

Find the dot product for vector, $$\overrightarrow{p}=\left(1\ \ \ -2\ \ \ \ \ 2\right)$$ and $$\overrightarrow{q}=\left(3\ \ \ \ 0\ \ \ \ 2\right)$$ .

Accepted Answer

$$p\cdot q=7$$

Answer

$$p\cdot q=-1$$

Answer

$$p\cdot q=3$$

Answer

$$p\cdot q=5$$

Question 10

Find the vector product for vector, $$\overrightarrow{a}=2i+5j-k$$ and $$\overrightarrow{b}=-3i+2j-4k$$ .

Accepted Answer

$$a imes b=-18i+11j+19k$$

Answer

$$a imes b=-18i+5j-11k$$

Answer

$$a imes b=-18i+11j+20k$$

Answer

$$a imes b=18i+11j+19k$$

DUM20132 (QUIZ 1) - UNIT 2 VECTOR

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