MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

COMPUTER GRAPHICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the dimensions of a 3D transformation matrix
A
2x2
B
4x4
C
3x3
D
3x4
Explanation: 

Detailed explanation-1: -Usually 3 x 3 or 4 x 4 matrices are used for transformation.

Detailed explanation-2: -So simply multiplying by a 3x3 matrix can never move the origin. But translations and rotations do need to move the origin. So 3x3 matrices are not enough.

Detailed explanation-3: -3-D Transformation is the process of manipulating the view of a three-D object with respect to its original position by modifying its physical attributes through various methods of transformation like Translation, Scaling, Rotation, Shear, etc.

Detailed explanation-4: -To describe translation and perspective in 3D, the 3x3 matrix must be augmented by an additional row and column, turning it into a 4x4 matrix. A 4x4 matrix can describe linear transformations in 4D space and transform 4-element vectors. A 4-element vector has four components: X, Y, Z, and W.

Detailed explanation-5: -Ans : D Explanation: Properties of 3-D Transformation : Lines are preserved, Parallelism is preserved, Proportional distances are preserved.

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