If A(x₁, y₁), B(x, y₂) and C(x3, 13) are the vertices of triangle ABC and x+y=x2 + y2 = x3 + y3, then show that x, sin 24 +x₂ sin 2B + x3 sin 2C = y, sin 24 + y₂ sin 2B+y3 sin 2C = 0.

Q: Point C = (10,2,-1) is given together with line 1: X=(2,2, 2) + (², -, -1), te R. Let arbitrary…

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Q: 5) If w = 4i + 4j, find 2w. 6) If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. 7) If v = -4i + 4j,…

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Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: Write down an equation of ARIMA (9,2,5) using y?

A: Given the time series process ARIMA9,2,5.

Q: 1) 4) 40° x= 36 100⁰ (2-3x) C 46° (21) 2) 5) x= 99⁰ (-x-5) Vie a 3) 6) x= (-12+9x) Goo 60% 4 (Bx+…

A: Since, you have posted multiple questions. As per guidelines we are supposed to answer only first…

Q: 3. Let a = -i+ 3j + 2k and b = 4i + 5j+ 2k. Don’t evaluate the square roots for the lengths except…

A: Given that                    a→=-i^+3j^+2k^                     b→=4i^+5j^+2k^  We know that the…

Q: Let A be the point with coordinates (0, -4, -1), let B be the point with coordinates (4, 0, 1), let…

A: The objective is to find the x-coordinate of point P.

Q: Use x = 0, 1, 2, and 3 to make a horizontal table of solutions for the equation y = 1 - 4x. X y…

A: Answer in the below image

Q: 4x-2y+2z=4.   (a)  Compute the angle between these planes. (b)  Compute the line of intersection…

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Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

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Q: Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has…

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Q: what would point reflection through the origin b? and be

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Q: Calculate the distance of AB. A. (-2,8) B (5,3)

A: Here, we need to find distance between two points A(-2, 8) and B(5, 3). We know that the distance…

Q: 2) sin(r) dA, R is the triangle with vertices (0,0), (2,0), and (2, 4). R.

A: First finding the line equation And drow the region in figure

Q: 24) y sec X

A: Definition used -             Amplitude - The secant function does not have an amplitude.…