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

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

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