Q1) the plane has equation of 4x-3y-2+5=0 Pud equation of plane partlel to R) and contimons with pont P (2,\,3)

Q: What is the distance of the origin to the plane through (√3, √3,0), (√3,0, √3) and (0,√3,√3).

A: We have to find the distance of the origin to the plane passing through  and .

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: Similarities

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: 11. Consider the plane and the line with these equations: 0 = 2x + y -z + 10 a) :. e must b) Find…

A: The line passes through (-4, 2, e) and has direction ratios  3, f, 1 In case (a) the line lies on…

Q: findthe parametríc equatlons for the line through the paint of in tersecti of the lines 4=X=2+ 36 14…

A: first we find intersection point of given line

Q: Q10) Find the equation of the plane passing through the point P(1,-1,2) and parallel to the line x-1…

A:

Q: b) Obtain the equation of a plane, P that is orthogonal to the line L:x=1+4, y=8+1, z =9+9t_and goes…

A: Given line is                                       L1:x=1+4t, y=8+t, z=9+9tvector parallel to line…

Q: (i) (ii) Determine the equation of the plane M which is perpendicular to the planes with the…

A: To find the equation of a plane perpendicular to two given planes, we can use the cross product of…

Q: Determine x. (Figure not drawn to scale.) 1.8 2.5 B x+3.5

A:

Q: 19. Find the Cartesian equation of the plane a) passes through point A(6,- 7, 4) and parallel to the…

A: To find the Cartesian equation of the plane, a)Which passes through the point A6,-7,4 and parallel…

Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

A:

Q: Find the equation of the plane through the three points (5, 6, 7), (4, 1, 14) and (1, 8, 8). Enter…

A:

Q: 17) An equation of a plane passing through the point ( 1, -2, 3) and containing the line L: x = 3 –…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (10) Find the distance of (3,-1,2) from each of the following: a) line: x = 1+ 2t, y = -t, z = 1-t…

A:

Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is…

A: First we find direction vectors of the plane of solutions.

Q: 2-The distance between the point (2,3,1) and the plane 5x – 2y – 4z = 0 А- 0, В- 6.7, C- V45. is

A: Here, the distance between the given plane and point is zero. Because, the point is on the plane.

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

A: