Consider the plane makes intercepts of 2 A, 3A, 4A on the coordinate axis of the crystal with a:b:c=4:3:2. The crystal is orthorhombic crystal. Calculate the miller indices of the given plane of the crystal. (A) (4,1,1) (B) (4,3,2) (C) (4,2,1) (D) (4,4, 4)

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: (b) A rectangle defined by four points A(0, 0, 0), B(2, 0, 0), C(2, 2, 0) & D(0, 2, 0) is rotated…

A: Given the rectangle with vertices, A(0,0,0), B(2,0,0),C(2,2,0), D(0,2,0). We need to rotate this…

Q: Transform triangle ABC with vertices A (4,0), B(0, 2), and C(-2, -1) as shown. RO. 1800(ABC) A'. В'…

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Q: 7. Parallelogram MATH with vertices M(2,-2), A(7,-1), T(6,-4), and H(1,-5): (a) Reflection: in the…

A: we need to find the coordinates of Parallelogram MATH after reflection and translation.

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: The grid below shows the point 4(8, 2). Find its image point after a reflection in cach of the…

A: 1. Now we shall determine the point after reflection in x axis. Given point is (8,2) Therefore after…

Q: Let S be the quadric with equation x² + y² (z-4)² 4 2 = 1. 1. Identify the type of quadric. 2. Give…

A: Let S be the quadric with equation x2 + (y2)/4 - ((z - 4) 2)/2 = 1 1. Identify the type of quadric.…

Q: 4. Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What…

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Q: Let Q be the cube with vertices {(1, 1, 1), (1, 1, −1), (1, −1, 1), (1, −1, −1), (−1, 1, 1), (−1,…

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Q: If two vertices of a triangle are (8,4) and (−2,2) and the centroid (intersection of the medians) of…

A: Let (x1,y1) , (x2,y2) and (x3,y3) are three vertices of a triangle the the coordinates of the…

Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: Q3/ For the given vertices A, B, C and D of the parallelogram, Find the angle at B and the polar…

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Q: Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point…

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Q: Evaluate eリ+1 dA D where D is the triangle with vertices (0,0), (-1, 3), and (6, 2).

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Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: 3x, - 2x, + 4x, = 1 X, + X2 - 2x, = 3 2x, - 3x, + 6x, = 8 %D Select one: a. no solution b.…

A: The given system of equations,3x1-2x2+4x3=1x1+x2-2x3=32x1-3x2+6x3=8

Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

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Q: 1. Which Transformation will result in an image which is similar but not congruent to the pre image?

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: AJKL has vertices J(1,-3), K(4, –3), and L(3,1). Reflect AJKL across the y-axis and then rotate it…

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Q: Find the reflection of the point (1, 2, 3) in the point 2x+y=10

A: To find the reflection of the point (1,2,3) in the plane 2x+y=10.

Q: Given points A (3, - 5) and B (19, -1), find the coordinates of C such that CB:AC = 2:7

A: A point lying on a line segment can divide the line segment in the ratio of m:n. The coordinates of…

Q: Crystals shaped like rectangular prisms are classified as tetragonal. The vertices of a tetragonal…

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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.