Quiz about Vectors

Question 1

Mice $${A}$$ and $${B}$$ each went on a quest to find food. Their displacements by the end are represented by vectors $$\vec{a}$$ and $$\vec{b}$$ with, vector, on top, respectively. Which option best describes the meaning of the following statement? $$\|\vec{a}\|=\mid \vec{b} \|$$

Accepted Answer

Covalent bond

Answer

the mice finished at the same distance from starting points but not necessarily in the same direction.

Answer

The mice finished at the same distance and in the Same direction from their Starting point.

Answer

The mice walked the exact same path.

Answer

None of the above

Question 2

Here is a drawing of vectors $$\vec{a}, \vec{b}$$ and $$\vec{c}$$, Which equation correctly describes the relationship between the vectors?

![](http://admin.getprephub.com/media/editor/v18_20220912192434975177.png)

Accepted Answer

Covalent bond

Answer

$${\vec{a}+\vec{b}}=\vec{c}$$

Answer

$$\vec{b}+\vec{c}=\vec{a}$$

Answer

$$\vec{c}+\vec{a}=\vec{b}$$,

Answer

none of the above

Question 3

If $$\vec{e}=(3,5)$$ and $$\vec{f}=(1,-6)$$ find $$\vec{e}+\vec{f}$$.

Accepted Answer

Covalent bond

Answer

$$(4,-1)$$

Answer

$$(4,1)$$

Answer

$$(1,4)$$

Answer

$$(-1,4)$$

Question 4

Vector $$\vec{v}$$ starts at the origin and ends at point $$E$$ in the drawing below. Assuming $$-5 \vec{v}$$ starts at the origin, which option could be its endpoint?

![](http://admin.getprephub.com/media/editor/Screenshot%202022-09-13%20125204_20220913072225277614.png)

Accepted Answer

Covalent bond

Answer

$$A$$

Answer

$$B$$

Answer

$$C$$

Answer

$$F$$

Question 5

Vector $$\vec{v}$$ has a magnitude of 3 units and it creates an angle of $$160^{\circ}$$ with the positive $${X}$$-axis. Find the magnitude and direction of $$5 \vec{v}$$.

Accepted Answer

Covalent bond

Answer

15 unit , $$160^{\circ}$$

Answer

15 units, $$200^{\circ}$$

Answer

15 units, $$200^{\circ}$$

Answer

5 unit, $$216^{\circ}$$

Vectors Precalculus Maths Problems and Solutions

Many students find Vectors for Precalculus particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Vectors from for Precalculus preparation.