Calculate the angle between the x axis and the y axis.
Answer:
(1,0,0)T · (0,1,0)T = 0. Therefore the x and y axis are orthogonal. (As we expected).
Calculate the angle between the x axis and the y axis.
(1,0,0)T · (0,1,0)T = 0. Therefore the x and y axis are orthogonal. (As we expected).
| vector a: | vector b: |
| (4,4,4)T | (4,0,4)T |
The previous problem was particularly easy to visualize, and particularly easy to calculate. Let us try something harder: The picture shows two vectors:
The angle between the two vectors is not 90°, and so is harder to see than in the previous example.
Click and drag in the picture to get a better idea of the two vectors.
Take a guess: what angle is between a and b? 10° ? 35° ? 70° ? 120° ?