Question

Q1: Solve the followings

a- Derive the transformation matrix that rotates a frame1 to a frame2 around Z-axis by an angle θ.

b- Consider 2 vectors having coordinates in the frame1 as: A = (2,-3, -1) and B = (-1,-2,0)

(i)- evaluate the scalar product A.B in the frame1 and in the frame2.

(ii)- Without calculations, what can you say about the cross products of the two vectors in the two frames?

Answer 1

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