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The pyramid defined by the coordinates A(0,0,0), B(1,0,0), C(0,1,0) and D(0,0,1) is rotated $45^o$ about the line L that has the direction V = J + K and passing through point C(0,1,0).
written 4.8 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.0 years ago by gravatar for pedsangini276 pedsangini276 • 4.8k
engineering mathematics
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written 4.8 years ago by gravatar for teamques10 teamques10 ★ 65k

Find the coordinates of the rotated figure.

Solution:

enter image description here

Step 1: Translating line (i.e Point C) to the origin O(0,0,0)

$[T r]=\left[\begin{array}{lll}{1} & {0} & {0} \\ {0} & {1} & {0} \\ {0} & {0} & {1} \\ {t x} & {t y} & {t z}\end{array}\right]$

$\left[\mathrm{T}_{\mathrm{r}}\right]=\left[\begin{array}{cccc}{1} & {0} & …

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