The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4 AO BO 2x-z=0 x+y-2z=0.CO x-y+z=7 .DO

Q: Show that the points A = (1, 2), B = (1,0), and C = collinear and express P = (-7,0) in barycentric…

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: A motorcycle shop estimates that it will sell 600 motorbikes in a year. Each bike costs $250, plus a…

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Q: Determine the parametric equation of the plane that contains the line y-3 *+2-³-² and the point…

A: Virtual find the standard form of the plane then by satisfying the parametric values we will…

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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Q: Find a scalar equation of the plane containing the line and the point (-5, -1,5). x = 6 +8t, y=-1-3t…

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Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

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Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: 4

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Q: Find the coordinates of the point p on the plane #₁ - 2 + 2x3 = 0, that is closest to the point b =…

A: x1-x2+2x3=0  that is closest to the point (2,0,-2)

Q: Find the point on the plane x+y+z=-46 that is closest to the point (1,1,1).

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Q: Find an equation of the plane orthogonal to the line which passes through the point (-9, 10, -6).…

A: given equation of orthogonal line

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(7, -1, 7)…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: we need to express the given parametric equations using bracket notation and also i,j and k…

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

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Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line…

A: As we given that equation of the line passing through the point (x0,y0,z0) and parallel to another…

Q: Let f(x) = x^2 − 2 and g(x) = x^3 − 2. a. Solve for any intersection of f and g. b. Draw the region…

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Q: A laser pointer is situated at the point (3, 1, 4) and is pointing a linear beam in the direction…

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