00:01
In this question, we are given a vector a which is equal to 10, 10, 0.
00:10
We have been asked to find the angles that the vector makes with the rectangular axis.
00:19
Angles that the vector makes with x, y, and z axis respectively.
00:31
So we have to basically find the direction of the vector.
00:38
We can see the z component of vector is equal to 0.
00:45
So we can see that vector lies only in x, y plane.
00:56
First of all, we can say that angle with z axis is equal to 90 degrees.
01:12
Any vector in the x, y plane, angle with z axis is 90 degrees.
01:17
Now we can say that let this be z axis and this be the y axis, this be the x axis, and this be the z axis.
01:31
So vector would be somewhere over here.
01:36
So this is 10, 10, and 0.
01:40
So now we find the magnitude and we find the direction cosines.
01:44
So let direction cosines be l, m, and n.
01:48
So we can say that l is equal to 10 upon under root 10 square plus 10 square which is equal to 10 upon 10 root 2 which can be written as 1 by root 2.
02:02
So this is equal to cos alpha where alpha is angle with x axis, angle with x axis...
