Points A, B, C and D have the position vectors 3i+2j-4k, 3i+j+k, 2i+4k and 3i+2j-6k respectively.     e) Determine if the line AD and CB intersects with one another. If yes, find the point of intersection as well Find the cartesian equation of the plane BCD

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Q: A line passes through the point (9,1, – 1), and is parallel to the vector 7i + 3j + 7k. Find the…

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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: Find the equation for the plane through the points Po(-1,-5,-2), Qo(3,-4,2), and Ro(1,1,5). .....…

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

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: Find the equation for the plane through the points Po(-3,5,3), Qo(0, – 5,2), and Ro(1,1,- 2). The…

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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…

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A: (.)  Given system of linear equation is,               3x1+3x2+6x3=12-9x1-9x2-18x3=-36…

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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: Given points A(1,2,3), B(0,-3,-2) and C(-1,0,5): a) Determine vector, parametric and symmetric…

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Q: B 10. Write a vector equation and parametric equations for a plane that satisfies each set of…

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Q: Find an equation of the plane passing through the three points given P = (2,4, 2), Q = (4, 10, 10),…

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Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

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.