2010D W2-2
Equation of plane using normal vector
Rmk: note which are vectors in/parallel to the plane; which are vectors on
the plane.
Terminologies may vary
Note the form of the equation.
2010D W2-2
Equation of plane using normal vector
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Any idea?
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Explanation:
More generally,
ways to represent linear “objects” in ℝ! (𝑛 ≥ 2).
• Equation(s) (of which variables?)
• Parametric method
Example(s)
For simplicity, 𝑛 = 3 (𝑛 = 2 also)
ß Linked up by
Explanation:
ß Linked up by
Explanation:
Example(s) ~ sketch ~
ß Linked up by
Explanation:
How about “non-linear object(s)”?
Basically the “same”!
Counterpart of “lines” are CURVES
Like “lines”, we can talk about “directions”
or “slopes”.
Replacing “direction” is the concept of
tangent vector à
To talk about it, we need the concept of
“differentiation” of a vector-valued function
of one variable.
Rmk: The most basic part of D.G.