Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, -1, 8), Q(8, 5, 1) vector equation r(t) = parametric equations (x(t), y(t), z(t)) =
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- 3. Find both the vector equation and the parametric equations of the line through (0,0,0) that is parallel to the line r= 5−4t , 2−3t , 5−2t, where t = 0 corresponds to the given point.Find a vector equation and parametric equations for the line segment that joins (−2, 4, 0) to(6, −1, 2).16) Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, 0, 1), Q(2, 3, 1)
- What is the vector parametric equation L(t) for the line through the points (5,-5,0) and (0,-3,3)?Find the vector and parametric equations for the line through the point P=(0,-3,1) and the point Q=(-2,-4,2) 1. Vector Form r=(<_,_,1>)+t(<_,_,1>) 2. Parametric form (parameter t, and passing through P when t=0): x=x(t)= y=y(t)= z=z(t)=Find the parametric equations of the line containing the point (-2,1,2) and parallel to the vector v=(1,-2,1).
- Give a vector parametric equation for the line through the point (−4,2) that is perpendicular to the line ⟨−2, 4−3t⟩.Find a vector equation and parametric equations for the line through the point (4, 2.7, 3.1) and parallel to the vector 4i+2j-k r(t) = (x(t), y(t), z(t)) =. Find the equation of the line that goes through the point (1, 3, 2) and is parallel to the line h3t−2, 2t+ 1, t+ 4i. Given both the vector equation and the parametric equation.
- Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, −1, 2), Q( 1/2 , 1/3, 1/4)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 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.