00:01
We would like to use our component method of vector addition to find the magnitude of vector c, which is a plus b.
00:11
So let's first break our different vectors into components.
00:17
Our x component of our vector a is just a cosine of theta.
00:23
So that's going to be 50 times cosine of, and we're giving it points above the positive x -axis axis.
00:32
That's a positive number, so cosine of 22 degrees.
00:37
So 50 cosine of 22 gives us 46 .3 meters in the x direction.
00:45
And a y is a sign of theta, where again, that's a positive value.
00:55
So plugging that in, we get 18 .73 for a y.
01:04
Now we can also find our components of the vector b.
01:09
Bx is b cosine of that angle, phi.
01:15
So we're going to say 80 times cosine of 51, which is 50 .3.
01:22
And by is b sign of that angle phi.
01:29
So now it's just sign of our 51 degrees, which is 62 .1.
01:36
So now c is just going to be a x plus a y plus bx plus bx plus b y...