# How do you find the component form and magnitude of the vector v given initial point (-1,5) and terminal point (15, 12)?

##### 1 Answer

Mar 24, 2017

Component form is **v**

Magnitude is ||**v**|| =

#### Explanation:

To find the component form, you only need to know how to substitute figures for letters. What do I mean by this?

If initial side is

Then

If terminal side is

Then

Thus, component form of **v** is

In this case, **v**

Which gives us **v**

To find the magnitude of a vector, the concept of pythagorean theorem needs to be understood. Why?

If **v****v**||

We already know the values for **v**, so;

||**v**|| =

||**v**|| =

||**v**|| =

||**v**||