Unformatted text preview: as a parametric vector form. 0 Conversion from parametric vector form to Cartesian form.
Let us start from a line in parametric vector form (”3) = mom.
3,! I112 1’2
Obviously, we can ﬁnd two different points (x1,y1)and($2,yg) on the line by choosing two different values for the parameter, then we can ﬁnd the Cartesian equation of the line by the two-point form
29‘ — 191 = :92 — 111
SE — $1 $2 — $1
higher dimension cases. By comparing the components of the vectors on the left side and right side of the parametric
vector form, we can express the line as a pair of parametric equations: . However, we would like to use a method which can be easily generalised to the $=a1+Av13
y=a2+Av2. Then we can eliminate the parameter A to get the line in Cartesian form. ...
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