Vector is a nightmare for some students especially if you do not like Physics. But for** O level Elementary Mathematics**, the few concepts are still quite straightforward to grasp if you follow through step by step.

In this post, I am going to discuss the **Basics of Vectors** which include:

- Finding magnitude of vectors
- How to find vectors
- Parallel vectors & its significance

This is the exam question used for illustration.

**|Magnitude| of vectors**

When vectors are given in column vector form: [pmath](matrix{2}{1}{x y})[/pmath], you can find the magnitude of the vectors usually by applying **Pythagoras Theorem.**

So **magnitude of vectors** = [pmath]sqrt{x^2+y^2}[/pmath]. If you do not wish to remember this, you can always draw a diagram in 5 seconds to be able to find the magnitude of any vectors. (This is shown in the video below)

**How to find vectors**

Finding vectors is just like deciding an alternate route for your journey. You would want to take note of the **start point** and the **end point**. For example, [pmath]vec{AB} = vec{AO} + vec{OB}[/pmath] My starting point is A, transition point is O and the end point is B.

*Hint:* When diagram is given, refer to diagram for help to plan the 'alternate' route. Otherwise, consider the points given in the question.Sometimes, 3 or more vectors can be involved.

**Parallel Vectors**

We can tell that 2 vectors are // to each other when they are expressed in this relationship:

[pmath]vec{AC} =k vec{BD}[/pmath] where k is a scalar factor.What this means is that [pmath]vec{AC}[/pmath] is // to [pmath]vec{BD}[/pmath] and the magnitude of [pmath]vec{AC}[/pmath] is k times that of [pmath]vec{BD}[/pmath]

We discuss about // vectors in parallelograms and trapeziums too!

*Hint:* Parallel vectors have same 'gradient'.

This is the question which I use to illustrate the 3 points above:

How did you find vectors so far? Is it easy to understand or you do not seem to know anything? **Leave me your comments**. I would love to hear from you!

In the next post, I will be discussing **Finding Ratio of Areas in Vectors & the Strategies Involved. **

Usama says

please i dont understand my math school papers is in 1 day and i only need to learn vectors and transformation please could u send me an e-mail giving details about these topics ur help would really be appreciated. Please the paper is tmr

May Me says

I'm a first year Maths student in Myanmar. I interest GCE'o' Maths so much.

shifa says

thank you very much for your explanation! it really helped.

i will appreciate if you can tell me if there is another method of finding k and P.

thanks in advance.