Q4/ Consider that A(4,2,0), B(1,3,0), C(1,1,3) are coordinates of vertices for triangles plane ABC, as shown in Figure. The plane has a point K(3.y,1) (KE plane ABC): Find : 1. Equation of plane ABC ii. Vector from the origin point (O) to the point (K) i. Distance from the point (O) to the point (K) Ans/ Jok| = 3.574

Q: b) Show that the points A = (1, 2, 2), B = (3,4, 5) and C = (-1,0, –1) lie on a plane through the…

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Q: Line Li: 0.5C1- X)= 2 = 0.5z intersects the plane defined by B(2,237), C Cl,o, 12) at point P. Find…

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Q: given tow lines (2t+1, 5t-5, 10t)and (3t, 2t+3, 2t+1) located the plane  find the plane

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Q: Q3: a) Find an equation for the plane through P(0,1,-2) perpendicular to n= 3i- 2j+k

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Q: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

Q: A)Find the equation of the XZ plane. B)Finde the equation of the plane ,each of whose points is…

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Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

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Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: Find the equation for the plane through the points Po(3, – 4, – 3), Qo(-3,4,4), and Ro(5, - 5,3).…

A: Given problem:- Find the equation for the plane through the points P0 (3, - 4, - 3), Q0 (- 3, 4, 4)…

Q: 4. Find an equation of the plane that passes through the points P(1,3,2), Q(3,–1,6), and R(5,2,0).…

A: Given points P1,3,2, Q3,-1,6, R5,2,0

Q: Give v that is perpendicular to a plane containing (1,2,3), (3, 4, 1) and (-1, -2, -3). Check if…

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Q: B) Find an equation for the plane through A(3,3, 3), B(5,5,5) and C(0,5,9).

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Q: Q2-) The parallelogram shown in figur A(2, -1, 4), B(1, 0, -1), C(1,2,3) and D. Find: a- The…

A: Note:- This is multiple sub parts question and according to our company guideline i am doing first 3…

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.