Find an equation of the plane through the three points given: Р - (0,5, 0),Q — (2, 1, —4), R — (-1,1, —3) P = 50

Q: Find the equations in the symmetrical form on the line perpendicular to the lines and passing…

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Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

Q: Find the equations of the line formed by the intersection of the planes P1= x-6y+2z=12 and…

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Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

Q: Given the two points A(1,2,3) and B(4,5,6) in 3D space, find the equation of the line passing…

A: The equation of a line in three-dimensional space can be represented in different forms.One common…

Q: Show that the points A(1,2) B (-1 , -16 ) and C (0 , -7 ) .Lie on the graph of the linear equation…

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Q: 15. Find the Cartesian equation of the following lines: a. parallel to the line r= 2i+3j+4k +1(3i –…

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Q: Find the coordinates of the point where the lines with the following equations intersect: 1 29 3…

A: Given Data: To find the coordinates of the point , 9x-12y=-4-3x+12y=12

Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Find the equation of a line perpendicular to: a the line x+ 3y = 0 and passing through point (-3, 2)…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)