00:01
So in this case, we want to figure out the the result of a couple of vectors in three d and find the magnitude and direction of results.
00:13
So of these two vectors, so one vector, it's called p.
00:19
It has a magnitude of 300 newton's, and it has an angle.
00:27
It makes an angle of 30 degrees with the oh, wait a minute labeled draw.
00:35
Uh, yeah, this should be this is q this is he.
00:52
Okay, so cute, too has a magnitude of four hundreds, and it makes an angle or 50 degrees with the x y x z plane.
01:04
So the y component we need to take an angle of 50 sign of 50 degrees and then for the x component way, take way projected with co sign of 50 degrees in the xy plane and then co sign of 20 degrees under the x axis and sign up 20 degrees on the y axis.
01:24
And in this case, it is, um, it is in the negative direction, so we need a negative sign here.
01:32
So one thing you can actually do if if you if you take some all of these things squared, you're gonna get one because this is a unit factor, it just gives the direction.
01:43
And so p has a magnitude of 300 newtons and it makes an angle of 30 degrees with the x y plane...