00:01
Now in this problem to prove the given statement, let us consider a line oc.
00:07
This is oc and there is a vector oa.
00:12
Now this projection is here.
00:16
It is b.
00:17
This is a.
00:18
Let it be some a bar and the angle made is theta.
00:23
Here there is a b vector b bar which is in the same direction of ob.
00:29
Therefore here oa bar is equals to small a bar and b bar is parallel to o b bar that is in the same direction.
00:42
Now if theta be the angle between the both vectors a bar and b bar then here we have angle a -o -b is equals to theta.
00:55
Now the orthogonal projection of the vector a bar along the vector a -bar along the vector b bar is a bar dot b cap.
01:06
This is the orthogonal projection.
01:10
Orthogonal projection is equal to a bar into b cap where b cap is the unit vector.
01:18
We all know that b cap is equals to a cap is equals to r cap is equals to i cap is equals to j cap is equals to all these are unit vectors.
01:32
Now we know that we simply say that unit vectors are denoted with the cap symbol...