00:01
In this problem, we have been given the vectors.
00:03
Vector a equals 5 icap minus 3j cap, and vector b, that's minus icap, minus 6j cap.
00:12
And we have to find out a vector plus b vector and a vector minus b vector.
00:19
And also we have to get the magnitudes of these two vectors.
00:23
So first, in order to get vector a and vector b, we just add these two vectors.
00:28
So we add the similar components together.
00:32
So 5 icap is added with minus icap.
00:35
We get 4 icap.
00:36
And minus 3jcap.
00:38
When we added with minus 6j cap, we're going to get minus 9j cap.
00:44
And similarly, we get vector a minus vector b by subtracting b vector from a vector.
00:50
And this gets us 6 icap plus 3j cap.
00:55
And now we can get the magnitudes of vector a.
00:58
Plus vector b and that will be root of four square plus nine square.
01:04
So here when we take the square root of four square plus nine square, we're going to get the required magnitude coming out to be 9 .85 approximately.
01:15
And similarly, we observed that the magnitude of vector a minus vector b, that will be root of six square plus three square...