Q Find the adjoint of square metria 3. (A')- 니 6 0 2

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: 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: エf ; え indepenelan Cordinaken Cou of a point, Show that,

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Q: 5. The ends of the transverse axis are at (+8,0) and the ends of the conjugate axis are at (0. 16).

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: 6. Quadrilateral STUV with vertices S(-4, 2), T(-2, 6), U(1,7), and V(4, 1) in the x-axis. nioM S'L.…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 10 — 0. - - %3D -…

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Q: ais the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the…

A: Solution of the problem as follows

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

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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: 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: Calculate the distance between the points N= (-9, 8) and Q = (-1, 1) in the coordinate plane. Give…

A: Given

Q: Calculate the distance between the points P = (-7, 2) and M= (1, –1) in the coordinate plane. Give…

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: 13. If AXYZ is rotated 180° clockwise about the point (2, -3), what is the coordinate of X? 4y Rule:…

A: Given:  Triangle XYZ is rotated 180 degree abot (2,-3). First change origin to O'(2,-3). Then change…

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

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Q: Find the value of x and y in the rhombus. yo 3x° 2x° y = IL ||

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Q: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the…

A: As dilation is done thus the size pentagon M'N'P'Q'R' compared to the size of the pentagon MNPQR…

Q: 3. Name three collinear points.

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

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Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: Determine the angle between the planes: x-z+7=0 2x +y-z+8 = 0

A: Solution :--

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

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Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

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

A: Given : 2x+2y+2z=3 and 2x-2y-z=5   To find: Angle between planes   we know that for plane Ax+By+Cz=d…

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

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Q: Find the area of a triangle with the points A(1,0,0), B(0,1,0), C(0,0, 1) as it vertices by using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

Q: z= 2e'+i

A:

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: 9. Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A: Given,           2x+3y+z=3    and   x+3y+2z=-3We know that,           Suppose the two equation be…

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

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

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Q: Calculate the distance between the points K=(-3, -2) and c=(1, 1) in the coordinate plane. Give an…

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Q: Calculate the distance between the points P = (-7, 6) and N=(-2, 2) in the coordinate plane. Give an…

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Q: Find the distance from Po = (3, 9, 6) to the plane 3x + 4y – 5 = 0.

A: The given equation of plane is 3x+4y-5=0 and the point is P0=3, 9, 6. The distance between a point…

Q: 5. USI P;(2,2,0), P2(-1,0,2), P3(0,4,3) VE, find the area of the triangle determined by the points…

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Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: The triangle abc (in UHG-universal hyperbolic geometry) is equilateral, i.e., the quadrances are all…

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Q: Calculate the metric coefycient h2 of the coordinate system defined by 503 x=5q1 +3q2-53 1243 y =…

A: The coordinate system is given by x=5q1+3q2-5q3y=2q1-18q2-12q3z=3q1+11q2-q3 Here, x1=x, x2=y, x3=z…

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: 5. What is the angle between the planes 4x - 5z = 11 and 5x + 4z = 13? %3D

A: see 2nd step

Q: *15. What is the name for the point on the coordinate plane that has the (Inv. 7) coordinates (0,…

A: The given point is: (0, 0)

Q: Find the angle between the planes (x+y+za1)and. (x-24+32-1). And find the Symmetricequations for the…

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

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Q: 2. Triangle RST with R(-2, 1), S(2, -7), T(-6,-11): k = 3/4, centered at (-2, -7) %3D

A: For the Given triangle, RST scaled R'S'T' is calculated as shown below

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

A:

Q: 1. F = [2², -x², 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

A: As given that,  F→=z2i^-x2j^+0k^ Calculating curl F,…

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| A(0, 0, 0), B(1, 0, 3),…

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