00:01
This problem, we need to create the vectors for u and v in order for us to do u plus v.
00:06
So the way that we find it would be taking the magnitude.
00:10
So the component form is the magnitude times cosine of the angle, and then we do the magnitude times sign of the angle.
00:19
So that's how we're going to approach it for both of these, and we'll get some decimal answers.
00:23
So in the end, it will be the component form for the sum of u plus v, for the specific things.
00:31
So rounding to two decimal places.
00:33
So this one here, the magnitude looked to be that it was 30 as well as its angle was 30 degrees.
00:39
So this would be 30 times cosine of 30 degrees.
00:43
And then this would be 30 times sign of 30 degrees.
00:47
And then for v is very similar just during the magnitude.
00:50
So 48 times cosine of 110 and then 48 times sign of 110.
00:57
So now when you go to evaluate these on your calculator, make sure that you're in degree mode.
01:01
Otherwise, it's going to output values in radian mode, and it would be completely off.
01:06
So, for example, here, so 30 times cosy of 30...