calc 3 make sure its right please Find a parametric representation for the plane that passes through the point (-1, -3, -2) and contains the vectors i + j - k and i - j + k. x = y = z = -2 - u + v

Q: 1) Find the vector and parametric equation of the line in R³ through the point P = (1, 2,-4) 5…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Represent the following equation in R² by a vector-valued/parametric equations: 2x² + 2y² – 2x + 2y…

A: The given equation is: 2x2+2y2-2x+2y=7...(1)

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A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: Vrite the parametric equation of the line representing the intersection of the x+ 2y + z = 5, x – 3y…

A: Answer

Q: A=(2,3,1) and G=(10,7,5) Write a parametric equation to describe the movement from A and G?

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Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

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Q: can you help find the parametric equation of a plane that goes though the point (2,0,1). the plane…

A: Given the required Plane passes through the point  Suppose  that .Also, given  that  the  given…

Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

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Q: Find the non-parametric equation of the plane with normal (1,-4,5) which passes through point…

A: To determine: Non-parametric equation of the plane with normal points 1,-4,5, that passes through…

Q: Find the scalar equation of the plane that contains the line x+1 -3=. and is parallel to x+2=+4_:+2…

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Q: Describe vectors in the xyz-coordinate system

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Q: A plane contains the point B(-3, 2, -4) and the line with parametric equations x= 1 + 2?, y = −t, z=…

A: Explanation of the answer is as follows

Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

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.