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Assume v is a vector: all points on the line can be written in the form tv, wher

ID: 2177733 • Letter: A

Question

Assume v is a vector: all points on the line can be written in the form tv, where t is a real number (t=0 yields the origin)and the full set of points is the whole line. For a line that does not pass through the origin all the points can be written of the form u + tv, where u is a particular vector.

Which of the following is a set of two distinct parallel lines?
a.(1,1,0)+ t(0,2,1) and (3,0,5)+ t(0,50,25) :this is the answer but what rule/laws do I apply to get here
b. t(1,2,4) and t(2,4,8)
c. (1,1,1) + t(1,1,1)+(2,1,1)
d. (1,1,0)+ t(0,2,1) and (1,1,0)+ t(0,4,2)

Explanation / Answer

a.(1,1,0)+ t(0,2,1) and (3,0,5)+ t(0,50,25) bothe cannot be re written as a similar u + t*v form