Q: Find the vector and parametric equations for the line through the point P(4, -2, -4) and parallel to…
A: Find the vector and parametric equations for the linethrough the point P4,-2,4 and parallel to the…
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A: topic - equation of a line
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Q: A particle moves in space along a path whose parametric equations are given by bsin(wt), x2 =…
A: Image is attached with detailed solution.
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Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).
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A: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…
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Q: Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular…
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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 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 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 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.A particle starts at the point P=(-3,3,4) when t=0 and moves along a straight line toward Q=(-1,7,6) at a speed of 7cm/sec. Let x, y, and z be measured in cm, and t in seconds. Find a parametric vector equation for the position of the object. r(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.
- Find parametric equations of the line through the point (5, 0,−2) that is parallel to the planes x −4y + 2z = 0and 2x + 3y −z +1 = 0.Give a vector parametric equation for the line through the point (1,−4,1) that is parallel to the line ⟨4+5?,?−4,3+5?⟩: L(t)Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular to the plane 2x−4y−2z=1.2x−4y−2z=1.Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. x = y = z = (B) At what point Q does this line intersect the yz-plane? Q = ( , , )