A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?
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Answer:
The translation rule is described by .
Step-by-step explanation:
According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:
(Eq. 1)
Where:
- Original vector with respect to origin, dimensionless.
- Translated vector with respect to origin, dimensionless.
- Translation vector with respect to original vector, dimensionless.
From (Eq. 1) we get that translation vector is:
If we know that and
, then the translation vector is:
And we find the translation rule by assuming that and
in (Eq. 1):
The translation rule is described by .