Given 3 points A(-14,-8), B(-9,-5) and C(1, 1). Prove that A, B and C are collinear.

Q: Let A = 4a, + 2a, — а, and B 3D ӕa, + Ba, + За, (a) If A and B are parallel, find a and ß (b) If A…

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Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: 5n -) in different ways. 4 Complete the ordered pairs to name the point (2, r>0 and 0 0 (-2, + )

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Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

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Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: - 7x - 12) is simplified?

A: here after the simplify we get the True option is A

Q: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find k so that the line through (– 3,2) and (k,4) is a) parallel to 5y- 2x = 1; b) perpendicular to…

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Q: Given the points A(-3, -4), B(-2, 1), C(1, 4), and D(3, -1). If W CB, what is v + w ? = DA and

A: If you have any questions let me know in comment box thankyou for your question.

Q: Find b and c so that y 20z? + bæ + c has vertex (– 2, 2).

A: Given y=-20x2+bx+c. The given equation is an equation of a parabola. The vertex of a parabola y=fx…

Q: In Z3×U3, Find the order of (1, 2). Show your work.

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Q: If the midpoint of E (a-2,2a+3) U (1-3b,2b+1) and M is (6,3) find the value of a and b

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

A: Solution

Q: Suppose that c. ind the values of c and d. C= [2] + d. d= -3 -10

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Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: Where C is a real number, the lines 3x + 2y = C, 2r + y = 5, and x - y = 4 are concurrent. Determine…

A: Given, 3x+2y=C 2x+y=5 x-y=4 are concurrent

Q: If AB = i+ 8j - 2k and B is the point (9, 4, 6), find A. The point A is (OI

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Q: Find b and c so that y 10x? + bx + c has vertex ( – 8, 0). = c = ||

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Q: Find the oidered pair that is a member of both -2x+3y=19 and 2x+5y=53 or indicate if it does not…

A: We need to find ordered pair that is member of both given lines.

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: Calculate (7xy + 5e²) d.S, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0,4, 1).…

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Q: Find the value of X such that and are perpendicular

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Q: ) y''' + 3y'' + 4y' + 12y = 8cos2x - 16sin2x

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Q: 1 30 (A) = 2 -2 4 3 50 a) Find the minor of the element 5 and 0? b) Find the cofactor of the element…

A: To find the minor and cofactor of element  0 and 5 .

Q: Find a and c so that y = ax + 24x + c has vertex (2, 37). a с — ||

A: From the vertex of a parabola

Q: Calculate (3xy + 4e2) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0,4, 1).…

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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.