1. Determine the point of intersection of the line and the plane if it exists. π: 7x+y+ 5z = 0 x-4 1: y-2 2-6 = 1 -2 3

Q: Find the distance between the point and the plane. 19. (0,0,0) and 2x+3y+z12 20. (2,8,4) and 2x+…

A: a) given point is (0,0,0)  plane is 2x+3y+z=12 find the distance between the point and the plane  b)…

Q: Convert the point (r, 0, z): (x, y, z) = (5, 7, -5) to Cartesian coordinates.

A: Given: r,θ,z=5,π4,-5 We are required to find: x,y,z

Q: Please do a, b, c,

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find…

A: Given: Three Points P=(3,-1,2),Q=(8,2,4) and R=(-1,-2,-3) PQ = <5, 3, 2> PR = <-4, -1,…

Q: You are at the point (3, 1, 2), standing upright and facing the xz-plane. You walk 2 units forward,…

A: The initial point is :  standing upright and facing the x-z plane.Walk 2 units forward, turn right,…

Q: Find an equation of the plane containing the lines given by 1-x = y = z+ 1 2 and * = y – 1 = z - 2…

A: From the given problem:, the plane containing lines are: 1-x2=y=z+1andx+1-2=y-1=z-2 So we can simply…

Q: Consider the plane with equation x + 2y + 2z - 60. Determine the point on the plane that is closest…

A: The given plane is,Compare this equation with So here we have,

Q: 咳 6. a) Find the equation of the line that is passes through points A(2, -3,-4) and B(−1,−3,7). b)…

A: Equation of line passing through the points x1,y1,z1  and x2,y2,z2 is given by…

Q: ) Find the equation of the plane containing the following 3 points. (-1,2, –3), (4,0,9), (-3, 1,7)

A:

Q: Question 3. Do the lines x=t, and x = 2t - 2, y = 2t - 1, 2 = 3t+1 intersect each other at only one…

A:

Q: Find a plane through the points (-5,2,3), (-8,-6,2), (5,-5,-4) Question Help: Video

A: We can find plane .

Q: Vocabulary A? is the locus of all points in a plane that are equidistant from the endpoints of a…

A: hnvhm

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

A: Given planes equation:- P1: 2x-4y+4z=-26P2:-7x+3y+6z=49