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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).

Angle between two Vectors

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in case you don't have Java

The previous problem was particularly easy to visualize, and particularly easy to calculate. Let us try something harder: The picture shows two vectors:

Vector a is represented by (4,4,4)T
Vector b is represented by (4,0,4)T

The angle between the two vectors is not 90°, and so is harder to see than in the previous example. Click on the right and left rotate buttons to get a better idea of the angle.

QUESTION 4:

Take a guess: what angle is between a and b?    10° ?    35° ?    70° ?    120° ?