Consider the following subsets of the Euclidean plane R²: A = {(r.v) € R°| - 3

Q: of the tss plane passes threngh the point Cl,) and contains the line {x=t, Find the 9 =-2, 2= 2

A: According to the given information, it is required to find the equation of plane.

Q: Let a and b be real numbers. Let L be the line defined as L:x = 5 – 5t, y = -9+t, z = a + bt, te R…

A: Here we will evaluate required values.

Q: P be a point belonging to the line of equation: r:{2x−y−2=0 x+z−2=0 Knowing that the distance from…

A: Given: Point P belongs to the line r:2x-y-2=0x+z-2=0…

Q: Let a and b be real numbers. Let L be the line defined as L:x = 6 – 6t, y = -11+t, z= a+ bt, teR %3D…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Find the distance between the parallel lines in each pair. a) l₁: [x, y, z] = [2, 5, 4] + [2, 1, 3]…

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Q: L is parallel to D. The distance between L and D is /53.

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Q: 1. Do the following equations describe lines (L) or planes (P)? a) [x, y] = [1, 1] + s[2, 3] b) [x,…

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Q: Let a and b be real numbers. Let L be the line defined as L : x = 7 – 7t, y = -13 +t, z = a + bt,…

A: Given :- parametric equation of line L and equation of plane D. Also given that L and D are parallel…

Q: 19. Consider these lines. l₁: [x, y, z]= [2, 1, -4] + [1, 3, 1] l₂: [x, y, z] = [-1, 3, k] + s[-1,…

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Q: Consider the following planes: P1: z+3y – z P2: 2x + 7y –3z P3 : 2x + y + 3z 3. = 7 1. Which…

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Q: Q.5. D.] find the Cartesian equation of the plane r(u, v) (u,v + 2,3u-2v), -1≤u≤2 and -2≤0≤3

A: To find the cartesian equation of the plane from a given parametric equation, we need to eliminate…

Q: a) Check that the line r: (x, y, z) = (1,0,1) + t(1, –1,0) is parallel to the plane n:x + y +z = 0;…

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Q: Solve the following matrix equation for V. You should assume that any matrices which need to be…

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Q: swE

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