00:01
This video is going to cover problems 87 through 90, where we're going to be really looking into proving things and understanding the deeper concept.
00:16
So if we have the magnitude of c, v, where v is the vector and c is the scalar, we know that's going to be the same thing as this, because what we end up seeing is that the vector, the constant can be pulled out of here.
00:34
And in this case, if we take the magnitude of the vector, we can use the definition of what we know about a vector and the magnitude, which is that it's the square root of the sum of the component squared, so x squared plus y squared.
00:50
So that's going to be how we determine it.
00:52
But in this case, we'll have a c value, which we can isolate.
00:56
Then we're also going to consider pq equaling r s and we want to know if it follows that pr equals qs and if we're able to match them up if we allow ourselves to consider two different vectors we can draw two different vectors and we'll see how that behavior will work in terms of the location it's possible that it would be different direction but we need to verify that that would not necessarily be the case and then the last one we have linearly dependent vectors if one's a scalar multiple so for example we would see that u and v are linearly dependent and that's because if you multiply if you multiply the vector u by a negative six, we end up getting v...