A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = z₁ + ct is x = (x₁ - x0) + at y = (y₁ - yo) + bt tER z = (z₁-zo) + ct x = 10 + at y=yo+bt z = 20 + ct tER x= 10 + (₁-xo)t y = yo + (y1 - yo)t z = 20 +(21-zo)t 1 x = 10 + (yoc - zob)t y=yo+(zoa z = zo + (xob - yo a)t tER - xoc)t te R H= (0-₁) + at y = (30-3₁) + bt (20-21) + ct 2= tER tER

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