Flashcards
3D Matrix Transforation
Cards in this deck (11)
- 1In [abc][def][ghi] what are the images of I, J and K?I = [a][d][g]
J = [b][e][h]
K = [c][f][i] - 2Which directions do I, J and K represent?I = x direction ([1][0][0])
J = y direction ([0][1][0])
K = z direction ([0][0][1])
(together they make up an identity matrix) - 3What matrix has the effect of a reflection in the plane x=0 (y-z plane)?[-1 0 0][0 1 0][0 0 1]
- 4What matrix has the effect of a reflection in the plane y=0 (x-z plane)?[1 0 0][0 -1 0][0 0 1]
- 5What matrix has the effect of a reflection in the plane z=0 (x-y plane)?[1 0 0][0 1 0][0 0 -1]
- 6What matrix has the effect of an x-axis rotation?[1 0 0][1 cos(θ) -sin(θ)][0 sin(θ) cos(θ)]
- 7What matrix has the effect of an y-axis rotation?[cos(θ) 0 sin(θ)][0 1 0][-sin(θ) 0 cos(θ)]
- 8What matrix has the effect of an z-axis rotation?[cos(θ) -sin(θ) 0][sin(θ) cos(θ) 0][0 0 1]
- 9What direction are all 3D rotations stated as?AC
- 10What matrix has the effect of a stretch factor 2?[1 0 0][0 2 0][0 0 1]
- 11What matrix has the effect of an enlargement by factor 3?[3 0 0][0 3 0][0 0 3]