Find the 4 × 4 Matrix That Produces the Described

question 4

Multiple Choice

Find the 4 × 4 matrix that produces the described transformation, using homogeneous coordinates.
-Rotation about the y-axis through an angle of 60° 73)

• A)
• \[\left[ \begin{array} { c c c c }
• 0.5 & 0 & \sqrt { 3 } / 2 & 0 \\
• 0 & 1 & 0 & 0 \\
• - \sqrt { 3 } / 2 & 0 & 0.5 & 0 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { c c c c }
• \sqrt { 3 } / 2 & 0 & 0.5 & 0 \\
• 0 & 1 & 0 & 0 \\
• - 0.5 & 0 & \sqrt { 3 } / 2 & 0 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { c c c c }
• 0.5 & \sqrt { 3 } / 2 & 0 & 0 \\
• - \sqrt { 3 } / 2 & 0.5 & 0 & 0 \\
• 0 & 0 & 1 & 0 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c c c }
• 1 & 0 & 0 & 0 \\
• 0 & 0.5 & \sqrt { 3 } / 2 & 0 \\
• 0 & - \sqrt { 3 } / 2 & 0.5 & 0 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]

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