Quiz about Vectors

Question 1

Nikki walked on a straight road for 4 kilometers at a direction that is $$30^{\circ}$$ to the north from the eastward direction. Here are a few vectors, where $$\|\vec{a}\|=\mid \vec{b}\|=\| \vec{c}\|=\| \vec{d} \|=4 {~km}$$ Which vectors can represent Nikki's displacement?

![](http://admin.getprephub.com/media/editor/v1_20220911213114892535.png)

Accepted Answer

Covalent bond

Answer

$$\vec{a}$$

Answer

$$\vec{b}$$

Answer

$$ \vec{c}$$

Answer

$$\vec{d}$$

Question 2

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 3

Here are a few vectors, where $$\|\vec{a}\|=\mid \vec{b}\|=\| \vec{c}\|=\| \vec{d} \|=10 {~N}$$ :

![](http://admin.getprephub.com/media/editor/v3_20220911213259600233.png)

$${S}$$

Accepted Answer

Covalent bond

Answer

$$\vec{a}$$

Answer

$$\vec{b}$$

Answer

$$ \vec{c}$$

Answer

$$\vec{d}$$

Question 4

Adrian and Bridget each went for a walk. Their displacements by the end of the walk are represented by vectors $$\vec{a}$$ and $$\vec{b}$$ respectively. Which option best describes the meaning of the following statement? $$\vec{a}=\vec{b}$$

Accepted Answer

Covalent bond

Answer

Adrian and Bridget finished their walks at the Same distance and in the same direction from their starting points

Answer

Adrian and Bridget walked the exact Same path.

Answer

They finished their walks at the same distance fom their starting poinh, but not in the same direction

Answer

None of the above.

Question 5

Find the components of vector $$\vec{A B}$$

![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-17%20at%202.08.39%20PM_20230817120850620112.png)

Accepted Answer

Covalent bond

Answer

$$(2,-13)$$

Answer

$$(2,13)$$

Answer

$$(-3,13)$$

Answer

$$(3,13)$$

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.