Find the (perpendicular) distance from the line given by the parametric equations x(t) 2 - 4t y(t) - 3 + 5t z(t) - 8t to the point (10, – 2,9). = = =

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

Q: The parametric equations for a line L₁ are as follows: x=-4+6t y=3-4t z = 1+4t Let L₂ be the line…

A: The given problem is to find the point P on the line L2. Given Line L2 is parallel to line L1 and…

Q: Find the distance between the point  and the line given by the set of parametric equations.…

A: Answer

Q: Find the slope-intercept form of the line with the following parametric equations: a = -2 + 3t, y =…

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Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: ) Write the parametric equations x = x = 2t-t³, y = 3 - 2t in the given Cartesian form.

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Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: The parametric equations for a line L₁ are as follows: x=-5-6t y = 1+6t Z=-2-4t Let L2 be the line…

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Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

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Q: Find the parametric equations for the line through the point (5, 2, 9) and perpendicular to the…

A: The parametric equation of a line passing through the point and has a direction cosines <a , b…

Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10