For what value of t with the two planes be parallel? ¹₁ = 3x + 2y+z=6=0 ¹₂ = 6x + ty + 2z - 9 = 0 02 O 4 O 1.5

Q: SS₁²³ - 3x + 4y Find -3x + 4y 2y - 6x = 0, dA, where R is the parallelogram enclosed by the lines -…

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Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

A: Since, these equations are of the form  (x - a)2 + (y- b)2 = r2  which means both the equations are…

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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: ) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a…

A: Write L1 in Cartesian form. Then find its slope or gradient then use it to find the slope of the…

Q: how the condition that the curves a+b=1 and d+b'

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Q: Q6/ find the acute angles between the planes to the nearest hundvedthaf a vadian 4y+32 =-12 , 3X…

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Q: Evaluate (x + y)ds where C is the straight-line segment x = 4t, y = (12-4t), z = 0 from (0,12,0) to…

A: Let  where C is straight line segment  from .We know thatwhere

Q: Find all the values of the parameter t for which the the two planes 15x = -4y-tz + 17t² - 7 and x +…

A: Planes :15x=-4y-tz+17t2-7x+3z+t2-4y=198t-7

Q: Find 3x + y -5x + 6y 3x + y = 0, 3x +y = 3, 5x+6y=1, Round your answer to 4 decimal places. dA,…

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Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: 2-89. If F = {3501 - 250j – 450k} N and cable AB is 9 m long, determine the x, y, z coordinates of…

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Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: Given that F = (2x + y2)i + (3y – 4x)j. Verify Green's theorem for F.dr around the triangle formed…

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Q: What is the distance between the given pla P₁: z=x+2y + 1 P2: 3x + 6y-3z = 4 O 0.95 O 1.50 O 0.14

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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: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: d) Y - (10х; +х,J(5х, + x, 2 2

A: Consider the given function: Y=10x12+x235x1+x225 Now partially differentiate the function with…

Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: 1.5 If A = 5a, + 3a, + 2m, B-a, + 4a, + 6a, C = 8a, + 2a, find the values of a and 3 such that aA +…

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Q: J₁ - 6x + 6y Find -6x + 6y 4x + 3y 0, -dA, where R is the parallelogram enclosed by the lines - 6x +…

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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: J₁ R - x + 3y = 0, x + 3y Round your answer to 4 decimal places. Find - x + 3y -dA, where R is the…

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Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

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Q: Find the angle between the following pair of lines: £ =2? =5] +k + 2(3 + 23 + 6k) and = 7i — 6k +…

A: A vector in the three dimensional space is represented by v=ai∧+bj∧+ck∧, where a, b and c are the…

Q: The area of the parallelogram determined by u = 2i – j– 3k and v = 4i – 2j – 6k is %3D - Select one:…

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Q: j √(6y 7 + 9z 7 + 6xk) · d7 where C is the boundary of the triangle with vertices (3, 0, 0), (0, 5,…

A: First parametrize the boundaries of the triangle. (3,0,0) to…

Q: Find the line of intersection between the lines: +1 and +.

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

Q: 3. Plot each of the points below and give their coordinates in the specified coordinate system. a.…

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Q: Let T be the plane -y+2z = 7. Find the shortest distance d from the point Po=(2, 3, −4) to T, and…

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