Q2] A) Find the angles (a,0) between the following planes a PL1: -2x+y-z=3 PL2: x+3y+z=4

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: Let M be the midpoint of A and B, where: A(a1,a2), B(1,3) and M=(-2,6). a.) use the fact that -2 is…

A: We have to use the Midpoint formula and distance formula to solve these problems. We know that the…

Q: Q7. What angle does the line of intersection of the plane O make with the nonnegative 2x + y - z = 0…

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Q: The midpoint of the segment AB with A(-1,5) and B(3,7) belongs to the line of equation: a) 2x+y=0 b)…

A: given A=(-1,5) and B=(3,7)

Q: (0,1,1) to the line of intersection of the planes : x + 2y + z = 1 x - y + 2z = -8

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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: 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: . Find the shortest distance between the: x−1_y−3 a. point (1, 3, 2) and the line *-¹-y-3_2–7 1 -1 2…

A: Given planes:- P1: x+2y-5z-10=0 P2: 2x+4y-10z-17=0

Q: V) through (-1,2) and perpendicular to 3x+ 4y = 12

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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: Area of triangle bounded by line of equation x-3y-6=0 and coordinate axes measured in square units…

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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: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

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: A Find the Distance from the point (2,-6) to the line 3x+ 4y t6=0 B Find the distance between the…

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Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: 3) Find the distances: a. Between ₁ = (3 + t, −2+ 3t, -t) and 1₂ = (1 + 2t, t, 5+ 4t). b. Between…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

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

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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: 5x - 7y + 5z = -52 and 6x - 2y + 2z = -4.

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Q: Fud the Line pussing through the posnt (!,-l,o) and purrllel to the Eme of intersection of planes (X…

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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…