COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Additive
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Subtractive
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Inverse
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Multiplicative
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Detailed explanation-1: -To Show that the composition of two successive rotations are additive i.e. R(Ɵ1). R(Ɵ2) = R(Ɵ1+ Ɵ2).
Detailed explanation-2: -As is the case with translations, successive rotations are additive.
Detailed explanation-3: -Expert-Verified Answer. Explanation: The resulting matrix in this example shows that successive scaling operations are multiplicative. That is, if we were to triple the size of an object two times in succession, the final size could be 9 times that of the original.
Detailed explanation-4: -A transformation from one coordinate frame to another can be carried out as three successive rotations about different axes. For instance, a transformation from reference axes to a new coordinate frame may be expressed mathematically as three separate direction cosine matrices as: [8.4] ‐
Detailed explanation-5: -Successive rotations in aerospace systems are usually referred to the rotating space. For example, in the Euler sequence roll-pitch-yaw, the pitch axis rotates together with the first (roll) rotation, and therefore it is not known a priori, but rather it is a function of the first rotation.