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Vectors in Component Form:

We can use these methods where there are more than 2 vectors being applied to an object

Unit vectors

We use I and j to help with illustrating vectors.

**Don’t forget the curly line underneath I and j

We can also use, sin and cos to help us to figure out the resultant for multiple vectors

e.g.

Unit Vector:

Would be a vector in the same direction but only of one unit

To figure it out we find out the magnitude and divide the I and k units by the

We can use this to help us do more calculations:

e.g.

e.g.

Equilibrium forces:

There are two approaches we could use, but the better one is

Find the resultant of the forces

The equal force will be the negative vector, so it will have the same magnitude

Then by using trig we can find the direction

e.g.

Base Vectors:

Can be used when horizontal and vertical vectors are not useful

We will normally get given a form and then we can equate the I and j components and then solve

e.g.

COME BACK TO THIS

e.g.

DON’T FORGET THE DIAGRAM

Position Vectors:

Are vectors from the origin to that point in the I and j form

We can use positional vectors to help us find certain vectors

e.g.