21. Determine whether the planes are parallel, perpendicular, or neither. If neither, find the cosine of the angle between them. (a) z+ 4y – 3z =1,–3r+ 6y +7z = 0 (b) 2z = 4y – 1, 3r – 12y + 6z = 1 (c) z+y+z=1,1 – y+ z =1

Q: 3. Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle…

A:

Q: Determine if the planes 3x + 2y- z 7; x-9y+ 2z 0 are parallel, orthogonal, or neither. If they are…

A: We will one by one check whether the planes are parallel, orthogonal. And then we I'll find the…

Q: 18. (h, k) and (h +r, k) ation of the perpendicular bisector of AB. 20. A (4, 1), B (-5, -2) 22. A…

A: Our objective is to find the coordinates of B.

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 4y + z = 3 x + 3y + 4z = 1 O…

A:

Q: Determine whether the planes 3x + 2y − z = 7, x − 4y + 2z = 0 are parallel, orthogonal, or neither.…

A:

Q: Q1/ Find the angle between the planes 3 x -6y - 2z = 15 and 2 x +y– 2z = 5

A: Explanation of the answer is as follows

Q: 3. Sketch the points determined by the following. (a) Iz+1-i = 2 %3D (b) Im(2z +i) +1=0

A:

Q: 23. The distance of the origin from the plane 2x – 3y + 6z = 14 is A 2 В 14 C с -2 D -14

A: on solving that we get

Q: 2メーヴ+ 13) find the equf Plane Parallet to rm (3, 2,-1) is twise their distante to the Plane 2X-9…

A: Given

Q: distance Q.2A) ((q,x+ 92y+ 93z = M, ,41x + 92y+932 = M2)) |M, – M2| Prove the between to planes…

A: Let the point (x1,y1,z1) is on plane 1 and the point (x2,y2,z2) is on plane 2. As we already know…

Q: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

A:

Q: A, B, and C are collinear points. B is between A and C AB = 12 BC = 18 %3D AC = 3x %3D Find x.

A:

Q: 19. Find the angle between the line and the plane of the following equations, a. 4:r=21 +3j- k+1(2i…

A: given  :line

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

A:

Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

A:

Q: 1. Find the cosine value of the angle of the two planes ( 71 : 2x– y+ z+2= 0, x2 : x +2y+ z-5=0)

A: Given two planes,  π1 : 2x - y + z = -2 π2 : x + 2y + z = 5 To find the cosine value of the angle of…

Q: 1. Find an equation for the plane through P,(0,2,–1) perpendicular to n = 3i – 2j-k

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x − 10y − 2z = 6 3x − 15y − 3z…

A:

Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

A:

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O…

A:

Q: 06: Given (x+ y +z=1) and (2x- 3y +z=4) are two planes. Show if the two planes are parallel,…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z =…

A:

Q: Q1) the plane has equation of 4x-3y-2+5=0 Pud equation of plane partlel to R) and contimons with…

A: Given that: Equation of given plane is: 4x-3y-245=0and contains point (2,1,3)

Q: Find the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos…

Q: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 2y + z = 3 x + 7y + 5z = 1 O…

A: We have to find the angle between the given planes which is equal to the angle between normals to…

Q: If 0 is the acute angle between the planes x + y = 2 and x + y +2z =v 6, then 2cos (0) = 0 1 O 2 1/2…

A: Angle between planes is defined as angle between their normals.    Option  C is correct answer

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows:

Q: 5) Find the distances by drawing the figures and right triangle used to calculate a. Between 1₁ =…

A: Given: Let's determine the distance for the following, a) medium of l1=2+2t,-1+t,-3t and…

Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

Q: 2-) Calculate the distance d of the pont P(-1,1,-2) through the throe points the plane pu sing from…

A: The distance d of the point p=(-1,1,-2) from the plane passing through the points A(1,-1,1)  ,…

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

A:

Q: The cosine of the angle between the planes 2x - y +2z - 3 = 0 and 3x + 2y – 6z – 11 = 0 is (a)를 (b)를…

A: We'll answer the first question since the exact one wasn't specified. 13. For two planes given by…

Q: a) Find the distance from a point (3,5,6) to a plane 2x + 3y + 5z = 1 b) Find the angle between the…

A: Find the distance of the point to the plane and find the angle between the given planes.

Q: Find the angle between the planes x+2y+2z-5=0 and 3x+3y+2z-8=0

A:

Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: a) Find the angle between the planes 2x+ 5y -6z 0 and 3x+ 6y + 8z= 0 b) Find the distance between…

A: Given: a) Planes 2x+5y-6z=0 and 3x+6y+8z=0. b) Planes 4x-y+2z-6=0 and 8x-2y+4z+6=0. To find: a)…

Q: 19. Find the angle between the line and the plane of the following equations, a. 4:r= 2i +3j-k+(2į -…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x – 10y - 2z = 6 4x – 20y – 4z =…

A: To determine whether the below planes are parallel, orthogonal, or neither. 2x−10y−2z=64x−20y−4z=−3

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

A:

Q: 17. Find the angle between two planes below. a. 2x- y+= =5 and 3x + y-z =1 b. 2x - 4y + 6z = 1 and…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.