00:01
Okay, let's draw our coordinate axis.
00:04
Here's north, east.
00:09
It says we have a vector a, which is 30 degrees east of north, and a vector b east.
00:22
The resultant vector we will call r.
00:27
Looks like that.
00:28
So the first thing we need to do is we need to resolve the components of a.
00:31
Well, if this is 30, then we make a 60 degree angle with east or the x -axis.
00:37
So we can write a as the magnitude of a, which is given to be 250 times the cos of 60 plus i -hat, plus the 250.
00:52
I'm just going to rewrite this instead of the magnitude of a value rate is 250 times the sign of 60 j -hat.
00:59
Okay, this equals 125 i -hat plus 216 j -hat...