D is the mid point of the side ВС of ДАВС;B ВЕ is perpendicular from В to the external bisector of ZBAC . Prove that, DE = }(AB+ AC) %3D 2

Q: The angle between two planes is the smallest angle 0 between the planes 6x + 2y – 4z = 0 and - 7x +…

A: We will solve the problem

Q: The Mobius surface is orientable. Select one: True False

A: A surface is orientable if it has two sides. Then, one can orient the surface by choosing one side…

Q: Find the equations of planes that just touch the sphere (x – 4)² + (y – 5)² + (z – 2)² = 16 and are…

A: Sphere equation x-42+y-52+z-22=16

Q: Exercise 8. Show that the sum of the angles of a geodesic triangle on a surface of positive…

A: We will use the Gauss–Bonnet theorem to prove the given statement.

Q: For what values of Care the planes 3x+z=5 and 8x-y+Cz=9 orthogonal?

A:

Q: Find a parametrization for the line segment beginning at P1 and ending at P2. 25) P1(-4, –5, 4) and…

A:

Q: Find the favily of orthogonal trageclores %3D

A:

Q: An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the…

A: We know, An angle with its vertex at the origin of an x-y-coordinate plane and with initial side on…

Q: State the equstion of the yz plane

A: We have to find equation of yz plane

Q: Calculate the distance from point s(10, -8, 10) to the plane 2x + 2y + z = 4 O 10 O 10 의 ~m 의 29

A: Given query is to find the distance between the plane and point. The given point is S(10, -8, 10)…

Q: Calculate the distance between the points L= (8, 0) and K= (1, –4) in the coordinate plane. Give an…

A:

Q: Compute the surface area of the portion of the hyperboloid x² + y? -? = 64 between z = 7 and z = 8.

A:

Q: distance

A:

Q: Find the acute angle (in degrees) between the planes Sz + 3y +5z 1 and 2z

A: P1 denotes plane 1 P2 denotes plane 2

Q: Where an Interior point Exists?

A: Interior point: Let S⊆ℝn.  A point a∈ℝn is said to be an Interior Point of S if there exists an…

Q: When is An angle in the xy-plane is said to be in standard position?

A: An angle is in standard position if its vertex is located at the origin and one ray is on the…

Q: The distance from (4,-5, 10) to yZ-plane is O A.4 O B. 5 C. /141 OD.10 OE. 125

A: Solution is given below:

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: .Calculate the dstance between tve point (3, -2) and the plane Z Xty-2+1=0.

A: The distance between the point (a, b, c) and the plane Ax+By+Cz+D=0 is given by,

Q: Find the acute angle of intersection between the two planes 2x−4y + 4z = 6 and 6x + 2y−3z = 4

A: We know that, acute angle between the lines a1x+b1y+c1z=d1 and a2x+b2x+c2z=d2 is given as…

Q: The centroid of an obtuse triangle is outside the triangle. true or false?

A: solution ======== The centroid is the concurrent point of the three medians in a triangle. It is the…

Q: Find the acute angle (in degrees) between the planes 5x 4y – 2z = 8 and 5x 2y – 5z = 5. %3D %3D

A:

Q: The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are…

A:

Q: 8. Find the angles between the planes r+y = 1, 2x+ y – 2z = 2

A:

Q: z = tan (VZn + Ze

A:

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

Q: Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x – 2 y-z 5

A:

Q: Find the distance (d) from the paint (9, 4, 6) to the plane z-y = 5. STAAVE

A:

Q: 5. plot x?-y?=z (Elliptic paraboloid) in 3D.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Compute the angle between the two planes 2x + 3y + 7z = 2 and 4x - 2y + 2z = 4.

A:

Q: 2. Use analytic geometry to verify that quadrilateral JKLM is a parallelogran 1C). YA K(-1,1) 2 -2 0…

A:

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

A:

Q: (4) Find the -periockic points and detorimme their sta. stakliny of hu)=EX %3D

A: 4) Given: h(x)=1-x3x+1 Determine the periodic point by substituting h(x)=x.…

Q: 22 Find the Directional Derivabive of Pary,z)= xg-y2'+Z at the point CI, -2, 0) in the direcbion of…

A:

Q: what is the intersection of plane  x+2y+z=0 and the line (x,y,z)=(0,1,2)+k(–1,1,2), KER(real…

A:

Q: Find the distance between the planes 4x + 5y + z = 25 and 4x + 5Y + z = 53. %3D

A: Explanation of the solution is given below....

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4 y + 10 = 0 A. Intersects at the origin B. Are…

A:

Q: Two tangent segments are drawn to sphere Q from external point E. Where A and B are the points of…

A: Given, E is an external point, and A and B are the points of tangency on sphere Q. The tangent of a…

Q: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y

A: Verify Green's theorem Where C is the boundary of the triangle formed by x=3 , y=0 , x2= 3y

Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 - and 2r + y…

A: For any triangle that will lie between two planes, one point has to lie on a plane and the other two…

Q: Draw the left and front vlews of the solid below. Left Front

A: Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and…

Q: 8. Find the angles between the planes r + y = 1, 2x + y – 2z = 2

A: We will use direct formula to find the angle. The detailed solution is as follows below:

Q: 14) Determine the distance between the parallel planes: 6z = 4y - 2x; and 9z = 1- 3x + 6y.

A: Given problem:- Determine the distance between the parallel planes: 6z = 4y - 2x and 9z = 1 - 3x +…

Q: Find the area of on of the triangle that can drawn between the planes Зх — бу- 2г 15 and 2x + y - 2z…

A:

Q: Determine the set of points satisfying the condition described by |z – 3| + |z + 3| = 10 Then…

A:

Q: to evaluate the line 12) Use Gren's Theorem integead along the posticy orientrch curre Jxy²dx…

A:

Q: Find angle between two planes given by 2x + y – z = 29 and 3x + y + 2z = 6. %3|

A: we have to find the angle between the two planes given by 2x+y-z=29 and 3x+y+2z=6. the equations of…

Q: In the standard (x,y) plane, what is the distance between (3, 4) and (6, 2)?

A:

Q: The distance from (10,-9,5) to yZ-plane is - 10 B.9 OC.5 OD. 206 OE. /106

A: We will find the distance between the point and the yz plane as following.

Q: Find the distance between the planes  5x − 3y + z = 5  and  5x − 3y + z = −9.

A: Two planes  and will always be parallel if The given planes  and  are parallel because we can see…