Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1, —3) y = (b) xi+ yj+ z k = k +t(i- j+k) | X = = Z
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- Find both the parametric and vector equation of the line segment between (−2, 3) and (5, −1) where 0 ≤ t ≤ 1. Please show all your work.Find the vector and parametric equations for the line through the point P(1,1,3) and parallel to the vector -2i + 1j + 2k 1. Vector Form r=(<_,_,3>)+t(<_,_,2>) 2. Parametric form (parameter t, and passing through P when t=0): x=x(t)= y=y(t)= z=z(t)=Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1) that is parallel to the plane 3x−2y −z −4 = 0 and perpendicular to the line 2x = −y/2 = −3z.