00:01
We have a couple of vector problems.
00:03
First we'll find a unit vector in the same direction as this given vector c.
00:09
Okay, so to find a unit vector in the same direction as a given vector, basically this is what we need to calculate.
00:17
We need to calculate the magnitude of that given vector.
00:22
And then take the vector itself and divide it by its magnitude.
00:27
So we just need to calculate this.
00:29
So let's do a little bit of scratchwork and find that magnitude of c.
00:36
Magnitude of c is going to be a square root of 17 squared, since we have 17 i here, plus negative 1 squared since we have a minus j there.
00:48
So that's a minus 1j.
00:53
17 squared is 289, and then negative 1 squared is positive 1.
01:03
If we added together, we get square root of 2.
01:05
Of 290, which we can't really reduce very much or at all.
01:09
So i'll leave it as it is...