How do you find the component form and magnitude of the vector v given initial point (1,3) and terminal point (-8,-9)?
1 Answer
Mar 28, 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
We already know the values for v, so;
||v|| =
||v|| =
||v|| =
||v||