00:01
In this problem, we have been given two vectors.
00:03
One vector is vector a, that's 5i -cap, plus 4 j -cap.
00:08
Another vector is vector b, that is 3 -i -cap minus 4 -j -cap.
00:15
And we need to determine, first we need to represent these vectors in the vector diagram.
00:21
So for that, we draw x and y -axis, and i -cap represents the direction along x -axis, and j -cap represents the direction along y -axis.
00:32
So a vector has five units along x and four units along y.
00:39
So the vector a will be somewhat like this.
00:44
And now we draw vector b.
00:46
So that has three units along x -axis, four units along negative y -axis, and this will be vector b.
00:58
So we can get the idea about their angles also, what they make with x -xsaxes.
01:02
So vector a is making an angle of tan inverse of 4 by 5...