00:01
So we have vector a, which has magnitude 35.
00:07
And the x direction there is cosine of 22 degrees.
00:20
And sine of 22 degrees is your y direction.
00:25
Vector b has a magnitude of 80.
00:29
Nope, 15.
00:31
And the x component of that is the cosine of negative 80 degrees.
00:43
The y component is the sine of negative 80 degrees and c has magnitude 12 and an angle of 163 degrees.
00:57
So the x component is the cosine of 163 degrees and the y component is the sine of 163 degrees.
01:10
Then for question six, what is the length and direction angle of a plus b plus c? well, let's see here.
01:29
Here.
01:30
This gives us, let's see, make sure you're in degree mode.
01:39
Okay, 35 cosine of 22, 32 .45 and 35 times the sine of 22 degrees, that is 13 .11.
02:02
15 times the cosine of negative negative 80 is 2 .604.
02:18
And the y part of that is, let's see, the sine of negative 80 times 15.
02:29
That is negative 14 .772.
02:34
And 12 times the cosine of 163 degrees.
02:40
That is negative 11 .476...