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6. Construct a matrix to scale by a factor of 5 about the plane through the
origin perpendicular to the vector [0.267,−0.535, 0.802].
7. Construct a matrix to orthographically project onto the plane through the
origin perpendicular to the vector [0.267,−0.535, 0.802].
8. Construct a matrix to reflect orthographically about the plane through the
origin perpendicular to the vector [0.267,−0.535, 0.802].
9. An object initially had its axes and origin coincident with the world axes
and origin. It was then rotated 30
o
about the y-axis and then −22
o
about
the world x-axis.
(a) What is the matrix that can be used to transform row vectors from
object space to world space?
(b) What about the matrix to transform vectors from world space to
object space?
(c) Express the object's z-axis using upright coordinates.
Upside down
Boy, you turn me
Inside out
And round and round
—
Upside Down
(1980) by Diana Ross
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