3 Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with the xy-plane, xz-plane, and .yz-plane (-2, 10, 0), (-2, 0, -5), no point O (2, 0, -10), (-2, 0, 5), (0, 2, 0) O no point, no point, (3, -2, 1) O

Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+…

A:

Q: Find the plane determined by the intersecting lines. z = 1-t L1 x= - 1 +t y = 2 + 3t L2 x = 1- 4s y…

A: Given: L1  x=-1+t    y= 2+3t   z=1-tL2  x=1-4s   y=1+2s   z=2-2s To find equation of  plane by these…

Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

A:

Q: Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with the xy-plane,…

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2,-1,1) to the point…

A:

Q: Find an equation of the plane. The plane that passes through the point (1, -1, 1) and contains the…

A:

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given problem:- Find the point of intersection of the line through (1,-3, 1) and (3,-12, 6), and the…

Q: Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with .the xy-plane,…

A:

Q: (6) Where does the line through (1,0, 1) and (4, -2, 2) intersect the plane r+y+ z = 6?

A:

Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

A:

Q: 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: 5. Find the point of intersection of the given plane and line. Plane: 2x - y+3z=7 Line: x=-1+t y…

A: We have to find  point of intersection .

Q: Find an equation of the plane. The plane that passes through the point (-2, 2, 2) and contains the…

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A: Find equation of line and put parametric value of (x,y,z) in plane and solve for x,y and z.

Q: 11) The distance from the point S(7, 6, -8) to the line x = −2 + 4t, y = -9 + 3t, z = 3 + 12t 12)…

A: #11) Given: Point = S7, 6, -8 and the line x=-2+4t, y=-9+3t, z=3+12t. To find: We have to find the…

Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

A:

Q: Find the distance between the point (0, 2, 1) and the plane 2x − 6y + 3z = 6

A: Distance between the point x1,y1,z1 and the plane ax+vby+cz+d=0is given by-d=ax1+by1+cz1+da2+b2+c2

Q: Where does the line through (1,0,1) and (4,-2,2) intersect the plane x+y+z=6?

A:

Q: The distance between the point ( 9,8,3) and the plane x + y – 2z = 5 is .... %3D

A:

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given…

A:

Q: Find the point of intersection of the line through (1, -5, 1) and (5,-12, 6), and the plane given by…

A: we know that equation of line which passes through two pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Find the line of intersection of the planes 2x+y-z=3 and x+2y+z=2. Find the equation of the plane…

A: Solution of part (a) in step2 and step3 and part (b) in step4.

Q: Find the plane determined by the intersecting lines. L1 x = - 1+t y = 2+ 4t z= 1-t L2 x = 1 - 4s y =…

A:

Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

A:

Q: Derermine the pointof intersection of the linel:- [-6,9,-1]+t[-a,3 ,1], t ER, and the plane, TT-x +…

A:

Q: Find the intersections of the line x = -2, y = 4 + 2t, z = -3 + t with the xy-plane, the xz-plane,…

A: Given x=-2, y=4+2t, z=-3+tfor finding intersection with xy-plane , set z-coordinate…

Q: Find an equation of plane through the points pl (-1, 1, 1) and point of intersection of the plane 2x…

A:

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given the point (1,-3,1) and (3,-12,6) and the plane x-y+z=6

Q: Find the point of intersection of the line through (1, -5, 1) and (5, -12, 6), and the plane given…

A:

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x y+z=2…

A:

Q: The line through the point (1, 0, 6) and perpendicular to the plane a + 3y + z = 5

A:

Q: Determine the distance from point Q = (2, 6, 9) to the plane x + 2y + 2z = 8

A:

Q: Find a plane containing the point (5,8,8) and the line of intersection of the planes -4x 4y+ 6z = 74…

A: We have to find the equation of plane containing the points 5,8,8 and the line of intersection of…

Q: 9. The line through (0,-7, 0) perpendicular to the plane x + 2y + 2z = 13

A: Given point is (0,-7,0) and plane equation is x+2y+2z=13 here we have to find the parametric…

Q: The intersection point of the line that passes through the origin and is perpendicular to the plane…

A:

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x=1-t,…

A:

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A: Equation of a plane in point normal form is given as, A(x-a)+ B(y-b)+ C(z-c)=0 Where (A,B,C) is the…

Q: 6. Determine the point of intersection of the line l: = [-6,9,–1] + t[-2,3,1], t € R. and the plane,…

A:

Q: 4. What is the equation of the plane through (-1,-1,0) parallel to the plane x + 2y + 3z = 9? (a) x…

A: To find the equation of the plane through (-1,-1,0) parallel to the plane x+2y+3z=9

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y + z =…

A:

Q: 5. The line passes through the point (-4, 5, 2) and is parallel to the xy-plane and the yz-plane. 6.…

A: Solution for a: Since line passes through the point P(-4,5,2) and parallel to xy-pane and yz-plane.…

Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

A:

Q: Find a plane containing the point (-7,-3,-2) and the line of intersection of the planes 3x – 2y – 3z…

A:

Q: Find the points of intersection of the line 6. = y+3= z 4 with the plane I+ 3y + 2z – 6 = 0. ОА(-10,…

A: We will solve the following.

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t %3D %3D with the…

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2, -1,1) to the point…

A: find the midpoint  ...............point on the plane

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -8, 4), and the plane given by…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.