00:01
Hello, we are given that a column is vertical to the ground and the base of the column is at the origin.
00:12
The x and y -axis, the xy plane is the ground and the x and y -axis are as shown in the figure and the top of the column is b and its coordinates are 0, 0, g and the top, the point b is connected to the ground through a cable which is, whose other end is anchored to the ground at a.
00:43
Now the coordinates of a are x, y, 0 where x is equal to 4 and y is equal to 2 and the length of the cable ab is 9 .5 meters.
01:01
These are also in meters, x equal to 4 meters and y equal to 2 meters.
01:20
Okay, and the length of ab is 9 .5 meters.
01:25
Now, our aim is, we have to find the z -coordinate of b, the point where the cable is connected to the column.
01:44
Now the vector ab is equal to the position vector of the point b which is 0, 0, z minus the position vector of the point a which is x, y, 0 which is equal to minus x, minus y, 0, z.
02:14
This is the vector ab and the length of ab is equal to 9 .5 meters...