Convert the line determined by the symmetric equations x – 5 y +1 z 3 to parametric form. a(t) y(t) z(t) =

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

A: Answer

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: Consider the line r in the space that passes through points A = (1, 3, −1) and B = (3, −1, 1).…

A:

Q: Find the parametric equations of the line r = ⟨1, 2, 3⟩ + t(4, 0, -6⟩.

A: Given: r→=1,2,3+t4,0,-6 for any given vector equation of line r→=a,b,c+tp,q,r, parametric equation…

Q: Complete the parametric equations of the point (-6,-5,-1) and perpendicular to the plane 4x-2y+3z=7…

A: Given query is to find parametric equation.

Q: Eliminate the parameter of the pair of parametric equations. x = 3t, y = t + 7 O y = 3x + 7 O y = 3x…

A:

Q: The paraboloid z = 8-x-x²-3y2 intersects the plane x = 2 in a parabola. Find parametric equations in…

A: The equation of the paraboloid is given as z=8-x-x2-3y2. The paraboloid intersects the plane x=2 in…

Q: Find the angle between the two planes x- 2y + z = 29, 2x + 3y – 2z = 6. And also find the parametric…

A: here we will find angle between two planes and parametric equation of plane's line of intersection,

Q: Consider the point (−6, 2, 2), line l : (1 − x)/7 = y − 3 = z/2. Find parametric equations of the…

A:

Q: x = 4t – t°, y = 2 – 3t

A: We have the parametric equation: x = 4t - t3 ........................... (1) y = 2 - 3t…

Q: 4. Find the intersection of the two planes. T₁: X+ 2y+3z + 1 = 0 T₂: 3x + 2y +z+2 = 0

A: To find the intersection of the following two planes.

Q: Write √x+y²+2x-y=3 +y²+2x−y=3 as a polar equation r = f(0).

A: Write in Polar equation

Q: Complete the parametric equations of the line through the points (7,-7,-1) and (4,-4,8) x(t) = 7 –…

A: Solution is following in explanation step.