00:01
In this question, we are given two vectors, u and u plus v, but we're only given the magnitude of vector u, which is 1.
00:12
And also it makes a 45 degree angle to the positive exercises.
00:20
In vector u plus v, the magnitude is square root 2, and it makes a 90 degrees to the positive exercises.
00:30
So let's sketch these two vectors first.
00:33
So we have the vector u, the unit is 1 and it makes a 45 degree angle.
00:46
So this will be our vector u.
00:50
So if you can see this is a right angle.
00:54
So over here it will be 1 cosine 45 and over here will be 1 sine 45.
01:04
So the coordinate of this point over here would be cosine 45.
01:09
45 degrees and that will be 1 over root 2 and sine 45 degree the y.
01:15
That would be 1 over root 2...