:: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14, 21, 9). (A) 16 (B) 12 (C) 13 (D) 10 (E) 14 (F) 15 (G) 11 (H) 9

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: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

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

A:

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

A:

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: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

A:

Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: Translate quadrilateral BDFH using the rule (x, y) (x+ 6, y- 10) and label the image D B

A:

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

A:

Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…

Q: Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

A: To Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: The graph of y=-3x + 19 passes through (1, -8a) in the standard (x, y) coordinate plane. What is the…

A:

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem

Q: y-intercept

A: In this question, we find the y-intercept (b) of a straight line that passes through the coordinates…