2. Find the distance between the line with parametric equations ï = 1 + 2t, y = −2+ 4t, z = 4 − 4t and the x-axis in R³. 3. Let Q be the midpoint of the line segement joining the points P₁ and P2 in R³. Is the line perpendicular to P₁ P2 through Q is uniquely determined? Explain your answer.

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: Juan’s exercise regimen includes golf, swimming, and playing the drums. He has at most 12 hours per…

A: We have given all the important statement. We have to construct the linear programming problem.

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: Use the parameter to write each rectangular equation as a pair of parametric equations. State any…

A: The parameter is

Q: 1. ) Find the equation of a line parallel to Ex + 5y = 1, with the same y-intercept as K- 4y = 8. D)…

A:

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

A: Answer

Q: 260. Find the intersection point of the x-axis with the line of parametric equations x= 10 +t,…

A: To find the intersection point of the x-axis with the given line of parametric equations  x=10+t y…

Q: sertar Reproducción Find the coordinates of points P and Q that are contained in two non-parallel…

A:

Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: A straight line passes through points A(-1,4) and B(0, -3). Write the equation of the line under:…

A:

Q: A. Determine the center and radius of the following circles. 1. x2 + y2 – 8x + 2y + 13 = 0 2. х2 +…

A: As per the company guidelines we can solve first three parts  . I hope that the given solution will…

Q: let L1 and L2 be the lines whose parametric equations are x-3 z-1 L1 == y - 4 = 1 =yー4= -= y – 2 4 х…

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Q: 2. Find an equation for the line through the point P(1, 0, -3) and perpendicular xy-plane. to the

A: Answer

Q: 21 6) x-1. y

A: Given query is to write the equation in the form of rectangular form.

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

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Explanation of the answer is as follows

Q: Find parametric equation of the line joining points P{(2,4, –1) and P2(5,0, 7). Where does it…

A: To do this we need the vector V→ that will be parallel to the line. This can be any vector as long…

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

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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…

A:

Q: Use the parameter to write the rectangular equation as a set of parametric equations. x² State any…

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Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

A:

Q: Use the parameter to write each rectangular equation as a pair of parametric x² x2 6 equations.…

A:

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. y - 1 z -2 5 z + 8 %3!…

A: given that x1=y-14=z-25=t therefore,  x=ty=4t+1z=5t+2 therefore , z=5t+2