00:03
Okay, we've been asked to find the magnitude of two times the quantity u minus v plus w.
00:11
We're working with vectors here.
00:13
So in order to combine these vectors u minus v plus w, we're going to combine their component parts.
00:20
So we have, for our i parts, we're going to have two minus negative one plus four.
00:31
So that's our i parts here, 2, negative 1, and 5.
00:36
All right.
00:37
So when we combine these, we get 3 plus 5 is 8.
00:41
And then we need to combine our j parts using the same pattern.
00:45
So we'll have 3 minus no j parts in the v vector plus negative 6 j parts in the w vector.
00:57
So 3 plus negative 6 here is going to be 9 .5 .5.
01:02
Negative 3...