What additional point is on plane RST? O R

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: 4 42 35 28 21 14 y 7 7 feet A) B) 14 feet C) 21 feet 0 _y=h(x) > 1 2 3 4 5 6 -X The line in the…

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Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

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Q: Given points A(3, -4, 2) and B(-12, 16, 12), point P, lying between A and B such that АР AB would…

A: problem is related to geometry

Q: (r, 0) 4, – 3+ 27 (r > 0) %3D

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Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: 4! find lim, B4,-2) S x approachesto I from postve direction.

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Q: Find the distance between the two points * A) 2V5 C) 2V2 B) 2v10 D) 4V2

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Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: you to If ZA ZD and ZC ZF, which additional statement does NOT allow conclude that AABC = ADEF?

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Q: ln the ry-plane, the point P (2, 3) is first reflected across the x-axis to point Q, and then Q is…

A: Given point (2,3)   Reflection of (x,y) to x axis gives (x,-y)

Q: Are these points collinear? a) A(-1, –2), B(3, 2), and C(5, 5) b) D(a, c – d), E(b, c), and F(2b —…

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Q: Name two planes that intersect in FG.

A: We have to name the plane which intersects in FG,

Q: Q5) If the line passing through the points A(1 – a, a – 2) and B(a + 3, a) is perpendicular to the…

A: Given the line through A (1-a,a-2) and B (a+3,a) is perpendicular to the line (x/2)+(y/5)=1. We need…

Q: What is the real number a that makes the line 2 -1 y-12 z-7 a -2 3 parallel to the plane z -y - 2z=…

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

A: Solution :--

Q: For each of the following question, find: (i) Intersection point between the line, L and the plane,…

A: Given a) L: r→=3i~+3j~-2k~+t2i~-2j~+3k~     P: r→.i~+2j~+k~=3 b) L: r→=2i~+k~+ti~+2j~-2k~     P:…

Q: D -10 -9- -4 -10 6. Use the applet to transtate quadritateral ABCD 2 units left to…

A: We will find the coordinates of D'' as following.

Q: Does AD lie in plane M?

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Q: paralle M = be on planes Q and R respectively. A clear writing is expected.) (a) Why are the lines L…

A: Given, two pararllel planes Q and R. Let the lines                   L=1-2t, 4+t, 3 and M=5t, 1-t,…

Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6…

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Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

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Q: are the following points collinear? show your calculation A( 0,10) B(3,4) C(-5,20)

A: We have to check

Q: Determine the expressions equivalent to 3x²y², 3x8y3 a) 9x24y9 3x°y5 3xly6 x24y9 1 x18y3

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Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: and the equation of the bised of the angles between the plan 22- -J+²2+ ³ 32 - 2y +63 + 8 -

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Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: Let C denote the boundary of the square whose sides lie along the lines x = ±2 and y = ±2 where C is…

A: Let     f(z) = z  is analytic within and on the square and z=-12 is interior to the square, so

Q: 7) Deter mine wether the tuo lines bellow are paralle! skew or Tntersecting I they are paralel ar…

A: Step:-1 Given that  L1 : x-12=y=z-14,  L2 : x=y+22=z+23 L1 : x-12=y=z-14=t  (say),   ⇒x-12=t⇒x=2t+1,…

Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…