Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let L, be the line passing through the point P= (-2, -16, 8) with direction vector d,-[1,-3, 1]" that dO O)=d U Ise the square root

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

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A: We have to compute ∫Cyexds where C is the line segment from 1,2 to 4,7. We have, x-14-1=y-27-2=t

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

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Q: For the equation h(x) = -x + 2 a) Complete the table: (Choose any Integer for x) h(x) I b) Use the…

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Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Show that the line [3, 2, 3] passes through the point of intersection of the lines [2, 1, 1] and…

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Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Compute the distance from the point (3, 0, -1) to the line containing the points (1,0,−4) and (1,…

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Q: 32. (3, 5) reflected through the y-axis is a. (-3, 5) b. (3, 5) с. (3, —5) d. (-3,-5)

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

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Q: Assume a line y = mx + c, [asses through the points (1, 15) and (-3, -5) Determine the slope, m, of…

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Q: Find the distance between (2,4, -1) and (0,8,3)

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