## Pipeline exercise

- After loading a model of a table, the center of the model is found to be at \(<2, 2, -2>\). A chair model is loaded with its center point at the origin \(<0, 0, 0>\). The chair needs to be positioned so the chair origin is one positive unit along the x-axis from the table center.
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- The
`glm`

function `lookAt()`

takes three vectors as input: **eye**, **center**, and **up**. If the view camera needs to be positioned at \(<2,2,0>\) while looking toward the table center, what vectors can be used with `lookAt()`

to accomplish this?
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- Assuming the table has a diameter and height of 2 units, what bounds just enclose the table? You should write your answer as two 3D vectors that define the extreme bounds of an enclosing box.
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- Assuming the view transform
**was** applied, what are the orthographic bounds to just enclose the entire table? Remember that the orthographic bounds are defined by \(left, right, bottom, top, near, far\).
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