The intersects Line Li: 0.5C1- x)= 2= 0.5z the plane defined by B(2,2っ7), C くりっ2) at point P- Find equations that passes through p and I to Li. D-SZ %3D 3 %3D the points A cul,), the of the Line L 2 in the plane equations of Line L3 that passes through P Find also the in this plane and is perpendicular to Le -2

Q: Convert into rectangular coordinates. (2,-) 3

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Q: the Find the distance bebween point of inter Section of the Line %3D X -y -Z =2, 2 x +34 -7Z = -1 |…

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Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must…

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a…

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: The plane through the points (8,-2,-5), (4,-7,5), (3,-1,8) has equation Ax+By+Cz = D. If A = -75…

A: Given: The plane through the points (8,-2,-5),(4,-7,5),(3,-1,8) hasequation Ax+By+Cz=D. We are…

Q: The given points are (4,2,2), (2,6,2) and (0,2,6). Find the general equation of the plane. Solve in…

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Q: 2) Find the Cartesian coordinates of the following : Зл. -), (5,7) ,(10,5) , (3.5) , (-2, 5) , (4.-)…

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Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: Point (4, n) lies on the line through the point (1, 2) that is parallel to the line with equation 5x…

A: *****There is a problem with the given equation :  5x 3y = 8. so I will solve it by assuming two…

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: (a)

Q: QUESTION Consider P4 be a set of all the point on a plane through the origin in R4. The general…

A: Given: P4=w,x,y,z∈R4 | aw+bx+cy+dz=0, a,b,c,d are constants not all zero We have to show that P4…

Q: Point A (5,5) (-3,0) (-5, -10) Point B (-7, 10) (-8,-6) (-2,5) Distance between A and B 10…

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Q: What is the distance between these coordinates A(-5,5)  B(1,-2)

A: The formula to calculate the distance between two points Ax1,y1 and Bx2,y2 is given by…

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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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.