37. The figure shows a line L1 in space and a second line L2, which is the projection of L on the ry -plane. (In other words, the points on L2 are directly beneath, or above, the points on L1. ) L 1 L2 x. (a) Find the coordinates of the point P on the line L1.

Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

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…

A:

Q: 1.B Find equation of plane in Cartesian coordinates spanned by the set S= 3

A:

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

A:

Q: a) Explain fully, atleast three possible relationships between two lines in R3 [c3] b) Which of the…

A: (a) The relationship between any two lines in ℝ3 is always one of the following three: They can be…

Q: 4. Give the general equation of the plane containing the point (3,-1,4) and 2- z perpendicular to…

A:

Q: ln the ry-plane, the point P (2, 3) is first reflected across the x-axis to point Q, and then Q is…

A: Given point (2,3)   Reflection of (x,y) to x axis gives (x,-y)

Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

A:

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

A:

Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: 3. Show the parametric form of the line that passes through points A(3, 6, 1) and B(2,10, 5) Compute…

A:

Q: Use orthogonal projection to find the distance between the { [ ] PER} (14, 21, 35); 1=

A: Given point 14, 21, 35 and line l=r1086: r∈ℝ We have to find distance between them using orthogonal…

Q: Let A:(-1, 1, –1), B:(2,0, 2), C:(4, 1, –3), and D:(-3, 1, 10) be points in R. (a) Find the angles…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 6. The picture is aligned with the coordinate axes such that point D is at the origin (0,0) and…

A:

Q: Given: AB with coordinates of A(-3,-1) and B(2,1) A'B with coordinates of A'(-1,2) and B'(4,4) Which…

A: Coordinates of AB is A-3,-1 and B2,1. Coordinates of A'B' is A'-1,2 and B'4,4.   Consider the A and…

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: Write the equation of the locus of a point whose distance from the plane 3x-2y-6z=12 is always twic…

A: We have to find the locus of the point P with the relation as per the distances given.

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: Which of the following mathematical models is used to determine the distance between two points…

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Q: 2. Determine parametric equations of the line that.... 4 a) passes through (-9,8) with slope - 5 b)…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.