00:01
Okay, so the vector has magnitude or length of 8 and direction 240 degrees.
00:07
Let's just draw the vector first.
00:09
Here with the axis x and y.
00:14
The angle is 240 degrees.
00:17
We always start off here on the plus x axis.
00:21
The angle is plus, so go around counterclockwise.
00:25
It was 90, 180.
00:27
So around here somewhere is going to be my vector.
00:32
Or this angle here is 2 ,40 degrees, which means the angle here has to be 60 degrees.
00:45
180 plus 60 makes 240.
00:49
So the vector then is like this and the length of that line is 8.
00:56
I want to work out the actual vector in terms of i and j.
01:01
So what i do then is this is a chord a game bit bigger.
01:07
Here is the 8.
01:10
Here is my blue line, the x -axis.
01:14
Here is the y.
01:15
Well, not the y, but here is a line straight down.
01:19
It changes that color.
01:23
Straight down like that.
01:27
And i know the angle here is 60 degrees.
01:31
Let's call this one then this length here.
01:34
This one here, b...