题目内容

The gluLookAt matrix can be summarized as:

A. Scaled followed by Translation followed by Rotation
B. Rotation followed by Scale followed by Translation
C. Translation followed by Rotation
D. Rotation followed by Translation
E. None of the above.

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Given that you are doing a 3D rotation operation, \( M=R\left(\vec{a}, \theta\right) \) ,on your vertices, what is the corresponding normal transformation,\( Q \)？

A. \( R(\vec{a},\theta) \)
B. \( R(\vec{a},-\theta) \)
C. \( -R(\vec{a},\theta)\)
D. \( -R(-\vec{a},\theta)\)
E. The result is unpredictable.
F. None of the above.

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Using the Rodrigues Rotation Formula, what effect does negating the axis of rotation have?

A. \( R(-\vec{a},\theta) = R(\vec{a},\theta) \)
B. \( R(-\vec{a},\theta) = R(\vec{a},\theta+\pi) \)
C. \( R(-\vec{a},\theta) = -R(\vec{a},\theta) \)
D. \( R(-\vec{a},\theta) = R(\vec{a},-\theta) \)
E. The result is unpredictable.
F. None of the above.

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Given a R2 vector， i⃗ =(2.05.0), 对这个向量施加一个350.0度的二维旋转，结果是什么？换句话说,j⃗ =R(350.0)(2.05.0)写出变换后向量j⃗ 的坐标j⃗ x=? j⃗ y=?

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Given two column vectors \( \vec{i} = \left( \begin{array}{c} i_x \\ i_y \\ i_z \end{array} \right) \) and \( \vec{j}= \left( \begin{array}{c} j_x \\ j_y \\ j_z \end{array} \right) \), what is the matrix multiplication expression equivalent to finding the dot product between the two vectors, \( \vec{i} \cdot \vec{j} \) ？

A. \( \vec{i}\ \vec{j} \)
B. \( \vec{i}\ \vec{j}^T \)
C. \( \vec{j}^T\ \vec{i} \)
D. \( \vec{j}\ \vec{i} \)

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The gluLookAt matrix can be summarized as:

A. Scaled followed by Translation followed by Rotation B. Rotation followed by Scale followed by Translation C. Translation followed by Rotation D. Rotation followed by Translation E. None of the above.

Given that you are doing a 3D rotation operation, \( M=R\left(\vec{a}, \theta\right) \) ,on your vertices, what is the corresponding normal transformation,\( Q \)？

Using the Rodrigues Rotation Formula, what effect does negating the axis of rotation have?

Given a R2 vector， i⃗ =(2.05.0), 对这个向量施加一个350.0度的二维旋转，结果是什么？换句话说,j⃗ =R(350.0)(2.05.0)写出变换后向量j⃗ 的坐标j⃗ x=?______ j⃗ y=?______

A. Scaled followed by Translation followed by Rotation
B. Rotation followed by Scale followed by Translation
C. Translation followed by Rotation
D. Rotation followed by Translation
E. None of the above.

Given a R2 vector， i⃗ =(2.05.0), 对这个向量施加一个350.0度的二维旋转，结果是什么？换句话说,j⃗ =R(350.0)(2.05.0)写出变换后向量j⃗ 的坐标j⃗ x=? j⃗ y=?