Is the triangle ABC with vertices A(3, 2, -1), B(6.3.0) and C(-3, 1, 4) acute, right or obtuse? Note You need to do this without explicitely calculating the angles.

Q: Find the area of the triangle with vertices (0, 0, 0), (-2, -3, -3), and (-2,-2,-5). A =

A: Let,     Then,

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: 3. The points A(0,1), B(2,0) and C(3, −4) form a triangle. Find the angle ZBAC. (a) ∠BAC = arccos…

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Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10)…

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Q: Find the area of the triangle determined by the points P(-3,6, - 4), Q(4,8, - 8), and R(10, - 5, -…

A: we have to find the area between the triangle having three coordinates by using the formula…

Q: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: What kind of triangle on its sides form the vertices (0, –5. 5), (1, –2, 4), (3, 4, 2). B) Calculate…

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Q: Find the measures of the parts of the right triangle that are not given.

A: Given,            A right triangle BCA is given below :

Q: A = (1, 2, 8), B = (8, 1, 8), and C = (-1,-1, −8)

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Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

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Q: Find the area of a triangle having vertices A(3, 2), B(1, 8), and C(8, 12).

A: We have to find the area of triangle having vertices (3,2) , (11,8) and (8,12).

Q: Find the area of a triangle with vertices (-3, 2, 5), (1, 0, 8) and (0, -5, -5). Give your answer…

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Q: the area of the triangle with vertices A(-3,2), B(1,-2), and C(1,3). If recessary, round to the…

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Q: Find the area of the triangle with vertices at SCS (3.3,35°,46°) SCS (4.7,61°,246°) SCS…

A: Given Data: Let us consider the given vertices of three points in spherical coordinate system are…

Q: Let A(1,3), B(3,1) and C(0, -2) be the vertices of a triangle ABC. Plot the vertices B, C, compute…

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Q: For the Triangle shown below: Pi= (0,0,2), P2= (0,2,0), P3-(0,4,2), P4-(0,2,4), P5-(2,2,2). P4 P5 P3…

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Q: Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

A: To find  The area of a traingle with vertices.

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

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Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…