Find the point of intersection between the line r(t) = < 5, 8, -4 > + t < 9, 3, 3 > and the plane 4x + 5y + 3z = 5. o a. ( 5.42, -2.73, 5.87) o b. ( 5.00, -3.40, 6.20 ) o c.(-2.20, 5.60, -6.40 ) o d. (-1.45, 5.85, -6.15 )

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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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: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: ,1), (2, 2), (1, 3), (4, 1), (3, 2), (2, 3), (1,4), (5, 1), .... Show that this constitutes a proof…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

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Q: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

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Q: #Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find…

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Q: ind the line of intersection of the planes x+y+z=1 and y+z=0

A: The given planes are x+y+z=1 and y+z=0. It is required to find the equation of line of intersection.…