17. Find the angle between two planes below. a. 2x- y+= =5 and 3x + y-z =1 b. 2x - 4y + 6z = 1 and 2x-y+z =7 c. x+2y +: = 6 and 3x + y + : =1 d. r•(i+2j+3k)=10 and 2x+ y-z =1.

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: If UV bisects XY at point W, which statements 6. must be true? Select all the true statements. se UW…

A: We know that if a line bisects other line then the bisector point is know as the mid point of that…

Q: a) Find the acute angle in degree between the planes défined by 8x + 10y + 3z = 4 and 2x + 4y + 6z =…

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

Q: Given: planes II₁ : 2x - 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

A:

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: The distance from (9,-6, 7) to yZ-plane is A9 O B. 6 OC. 166 OD. 85 O E.7

A: Distance of a point (a,b,c) from yz plane is as In yz plane x coordinate is zero and y= b and z= c.…

Q: Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

A:

Q: If 0 is the angle between the planes x - y+2z 1 and 2x +y+ z = 4, then tan (0) %3D а. 3 b. 2 с. 14…

A:

Q: If C is a closed contour |z| =r and n #1, then a. 2 O b.0 OC. 2ri Od. None of the above Sed C z" dz…

A: We have to find the value of ∫Czn dz where n≠1 and C is a closed contour z=r

Q: dCx,4)=\x=y?l, Y x, B, ZE R, b is a methic

A:

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

A: Given equation of planes are x+y-2=0 and x+y+2z-6=0 Let Let A1 x + B1 y + C1z + D1 = 0 and A2x + B2y…

Q: If 0 is the acute angle between the planes x + y = 2 and x + y + /2z =V 6, then 6cos (e) = O 3 O 2 O…

A:

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

A:

Q: let L4:x < = -+t, y=+t, z=-t STRAIGHT IN SPACE AND LET'S HAVE A LEVEL L2:x = 2 + 2t , y= 3 – 2t, z…

A:

Q: Find the line r that passes through the origin and is perpendicular to the TT planes that passes…

A:

Q: 4. Find the angle made between the two planes: r+ y - z = 5 and 2r + y +3z = -1.

A: Given that: Equation of first plane: x+y-z=5   ........(1)Equation of 2nd plane: 2x+y+3z=-1…

Q: In the diagram below, XS and YR intersect at Z. Segments XY and RS are drawn perpendicular to Y R to…

A:

Q: 4- Find The equation ofthe plane That the origin andat the poiat p(u1)ond at is parallel to theline…

A: Equation of plane

Q: 7) Find x, y, and z in the rhombus below. 12

A: Given: Length of the side of a rhombus is, a=12. One of the angle between a diagonal and a side is…

Q: Q: To find an angle between planes 2x + 4y - 4z- 6 = 0 and 4x + 3 y+9=0.

A: We have to find the angle between the given two planes.

Q: 17. Find the measure of the acute angle formed by the lines m and k, if the magnitude of rotation to…

A: The compositions of reflections over intersecting lines theorem states that if we perform 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: 4) Name a point that is coplanar with A, B, and C. b. E D a. D d. N C. F 3)

A: the given figure we have to name a point that is coplanar with A, B and C.

Q: 3. What is the angle between A and B if A• B = 0 4. Find (u+v)• (2u – v) given that u•u = 4 14•y =-5…

A: (a). A.B = 0   (b). u.u =4 u.v=-5 v.v=10

Q: y U(a, b) V(?, ?) h =b units T(0, 0) a units W(c, 0)

A: HL congruence postulate: According to this congruence postulate, two right triangles are congruent…

Q: Given the planes 3.x – 6y – 2z = 15 and 2x + y – 2z = 5 anser the following. (c) Find the angle…

A: Solve by using concept of normal vector.

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: 2. Compute for the value of x and the measures of each exterior angle of the quadrilateral below. L…

A:

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: with the guldin's proposition 1 get the contents of the rotating object that occurs if the land…

A: As per the question we are given a 2d region bounded by the curve : y = 6 - 3x - x2 and the straight…

Q: 7. Find the dis to the plane x +2y+ 6z = 10 %3D 8. Find the angles between the planes a+y= 1,…

A: According to guidelines we should have been able to solve only one question at a time #8

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

A:

Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is A: 0° B: 45° C:84° D:34°

A: we have to find the angle between the two given planes

Q: (2t+l, st-5, lot ) f 4z: Given two lines ( 34, 2++3, zt+1) located in Sice the plane ? plane, find

A: The required equation for the plane is calculating by the below method.

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

A:

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

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: In the diagram below, XS and YR intersect at Z. Segments XY and RS are drawn perpendicular to YR to…

A:

Q: The distance from (7,-8, 5) to yZ-plane is OA. 138 O B. 5 OC.8 OD. 89 O E. 7

A:

Q: Find the measure of the angle between the planes 3x-4y+z=8 & 5x + y-2z = 6

A:

Q: 9. Name the figure that represents the two-dimensional cross section of the cylinder cut by the…

A: Given, A cylinder is cut by a plane  We have to name the figure that represents the two dimensional…

Q: 5. What is the angle between the planes 4x – 5z = 11 and 8x – 10z = 13? (0) (a) 0 (b) 프 (d) π

A: Given: To explain the correct option is given as,

Q: F(x,y, z) = xi+ yj, and S is hemisphere z = V1– a² – y?

A: In this question, we find the flux across the surface by using a surface integral. flux=∫∫sF.Nds

Q: 6. Use the methods of chapter twelve to find the angle between the 3x lines y - 3 and 5x – 2y = 10.…

A:

Q: 1. Let u = 2î + ĵ – 2k , v = 12î – 4ĵ + 3k and w = 4ĵ + x²k а. Find u x v b. What is the angle…

A:

Q: 5 m -8 m- -4 m

A: *Answer:

Q: 8. What is the angle between the two planes x+y=0 and y-z=2?

A:

Q: (|F.dS, F = xz+ y° z,S is the hemisphere x² + y² +z? =36, z > 0.

A: Find double integration F•ds

Q: Determine the angle between the following two planes: −x + 6y + 3z − 6 = 0 2x + 3z − 10 = 0

A:

Q: 3) Name three collinear points. b. A, B, and C d. A, D, and C a E, D, and A c. E, F, and C D

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.