Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t, and x = 2 + 2s, y = 6 + 15s, z = -2 + 6s. 10/7 Need Help? Read It

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A: Given that, Parametric equation of the curve are following, x = t3 + 4t,      y = 6t2 and the…

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A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

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Q: Q3/ Find the real number such that the line of parametric equations x = t, y = 2 - t, z= 3+t, is ax…

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Q: 8. The position of a particle moving in the xy-plane is given by the parametric equations x =…

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Q: Consider two non-parallel lines , l1 & l2, in R³ with parametric equations l1: P+ tu l2: Q + tv.…

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Q: Find parametric equations of the normal line to x² the surface z = + y? 4 at the point (2, -3, 10)

A: Given curve

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A: Let F(x,y,z) define a surface that is differentiable at (x0,y0,z0) then the normal line to F(x,y,z)…

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Q: List all of the points (x,y on the parcmetric curve X= +?+ 4+ y= 6+3 where the tangent line is…

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Q: A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the…

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

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Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations…

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Q: iminate the parameter in the parametric equations x(f) = 5t – 8 and y(t) = Vt – 5 to find a…

A: Given: The parametric equations are xt=5t-8 and yt=t-5 Given query is to find the Cartesian…

Q: Match the given parametric equations with one of the parametric curves. x= 2- sint, y= 2 + cost

A: To determine the parametric curve for given equation.

Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…

A: The equation of the line in matrix form:                                                xyz = 012 +…

Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Find the parametric equation for the line where the planes 4x – by + 8z = - 36 and – by + z = – 15…

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Q: Find the length of the parametric curve x = e^t + e^-t, y = 5-2t on the interval [0,3]

A: Find the length of the parametric curve x = e^t + e^-t, y = 5-2t on the interval [0,3].

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A: To find out equation of any line we need one point on the line and a vector which is parallel to the…

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Q: Find parametric equations for the line through the point  (0, 2, 2)  that is perpendicular to the…

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Q: Find parametric equations for the line through (- 4,6,1) perpendicular to the plane 7x + 3y + 9z =…

A: Note that, a vector which is perpendicular to the plane ax+by+cz+d=0 is (a, b, c). A parametric…

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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y +…

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Q: Find the length of the parametric curve x = 2t + 1, y = 3 + 2tž, 0 < t <%.

A: Find the Length of the curve

Q: Find parametric equations for the line through (- 3,1,2) perpendicular to the plane 7x + 9y + 9z =…

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Q: Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular…

A: Normal vector perpendicular to the plane 2x−4y−2z=1 is: (2, -4, -2) The line passes through P = (-1,…

Q: Find the distance between the skew lines with the given parametric equations. x = 2 + t, y = 3 + 6t,…

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Q: Find parametric equations for the normal line to the surface -10x + 5y + 9z =3 at the point (1, -…

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Q: Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by…

A: They will collide when their respective x coordinates are equal and their respective y coordinates…

Q: Find the (perpendicular) distance from the line given by the parametric equations ¤(t) -2 – 2t y(t)…

A: Solution: The objective is to find the perpendicular distance

Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

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Q: Eliminate the parameter in the parametric equations x(t) = –7t – 2 and y(t) = Vt – 8 to find a…

A: givenx(t)=-7t-2..................(i)y(t)=t-8..................(ii)we can rewrite 2nd equation…

Q: Find parametric equations of the normal line to x2 the surface z = 4 + y? at the point (2, 3, 10)

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…

A: Topic - equation of line