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 Trace the curve 𝑦2 = (𝑥 − 1)(2𝑥 + 3)(3𝑥 − 1). 


The distance from the point P(1,3,2) to the line through (1,0,0), and (1,2,0) is given by ?


Suppose u = (u1; u2; u3) :

Prove that

u x u = u21+ u22+ u23

Determine the equation of the line that has a distance 2 from the origin and is
parallel to the line that passes thru P1(2,7) and P2(-3,-2).

whats the relationship between (2,1,2) and the line L represented by parametric equations x=1+2t,y=2+t,z=3-2t where t is an element of R


Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the
origin is 7.
Find the equation of the line that is parallel to 4x-5y = 2 and whose distance from the
given line is 5.
Determine the equation of the line that has a distance 2 from the origin and is
parallel to the line that passes thru P1(2,7) and P2(-3,-2).
Determine the equation of the line that passes thru P1(4,-8) and P2(0, ¾).
Determine the equation of the line that passes thru P1(4,-8) and P2(0, ¾).
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