00:01
So in this question, they say a rectangular box has length 11 inches with 9 inches and a height of 11 inches.
00:08
I want to find the angle between the diagonal of the box and the diagonal of its base.
00:14
The angle should be measured in radiance.
00:17
So let's go ahead and embed this in a xyz plane.
00:24
So suppose i have this box in three space.
00:28
And i'll say it has a width of nine inches after it has.
00:34
A length of 11 inches.
00:37
So length 11 inches with 9 inches and it's going to have a height, it's going to have a height of 11 inches as well.
00:51
So what do i know? if i have this vertex here that's at 0 .00, suppose i have a diagonal of the base.
01:01
A diagonal of the base would extend from 0 -00 to the point of 1190.
01:11
How about the diagonal of the box as a whole? well, the diagonal of the box as a whole would point to this guy here, which is the point 11 -9 -11.
01:26
So essentially what i've created are two vectors.
01:30
I have vector v, which has components 11, 9, and 0.
01:36
And i have vector w, which has components 11, 9, and 11...