Four points A(2, 3, 1), B(0, 4, -.3), C(2, 2, 0) and D(-1, 0, 1) are given.

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Four points A(2, 3, 1), B(0, 4, -.3), C(2, 2, 0) and D(-1, 0, 1) are given.

The line I1 passes through A and B, and the line I2 passes through C and D.

a. Find the angle between the lines I1 and I2.

b. Find the shortest distance between the lines I1 and I2.

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