Q1 Consider the planes. 7: 2x-y+z = 6, : x+y+22=3,, 3x-4 y+sz=10 : 2x-y +2=3,52-3y+22=1, Find the fol) onsing () angles between the planes i,; :q.

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

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Q: Show how you determined the points: determine 3 points on the attached plane.

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Q: 2y e that for all values of A and 1, the planes 2+2+2-1+2 ²2 - a b b 5y, 4z +3=0 intersect on the…

A: A

Q: . Find the shortest distance between the: x−1_y−3 a. point (1, 3, 2) and the line *-¹-y-3_2–7 1 -1 2…

A: Given planes:- P1: x+2y-5z-10=0 P2: 2x+4y-10z-17=0

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: o Find an equahion for the plane throught (l,-l,3) parallel fo the plane 3x ty+Z =7

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Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

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Q: Determine the angle between the planes: x-z+7=0 2x +y-z+8 = 0

A: Solution :--

Q: stions nswer the following questions: (5 marks) Consider the planes P and Q given as 2x – 3y + z = 3…

A: Given that  P:2x-3y+z=3 Q:4x-6y+2z=5  Find the distance between the planes

Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

Q: 6. Let P= (1,0,2), Q = (-2, 1, 1), R= (a, B,7) be points in R for real numbers a, B, and 7. (a)…

A: Given: Let us consider the given P=1,0,2, Q=-2,1,1, R=α,β,γ be points in ℝ3 for real numbers α,β,…

Q: #Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.