Find the area of the triangle having vertices at P (1,3,2), Q (-2,1,3) and R (3,-2,-1)

Q: Exercise 1. Find the area of the polygon in R³ with corners (3, –4) (-7, 7), (5, 5), (–5, –6) and

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Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: Sketch the triangle with vertices O, P = (0,7,2) and Q = (5,0,4) and compute its area using cross…

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Q: Find the area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and N(4, 5,…

A: To Determine  The area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and…

Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: 2rydA, where D is the triangular region with vertices (0,0), (1, 2) and (0,3)

A: Dear Learner, We expert are following bartleby expert guidelines to answer the questions posted by…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: 2) Find the area of triangular ABC of points (4,6,12), (2,7,6) and (-2,5,6).

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Q: If the coordinates of the mid-points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find…

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Q: Find the distance d between the points (5, – 7, 2) and (2, 5, 6).

A: Distance between two points x1,y1,z1 and x2, y2, z2 is d=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: Find the area of the triangle with vertices: Q(4,-5,-2) R(2,-3,-1) S(1,-6,1)

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Q: Let a triangular region be partitioned into two triangular regions by segment through a vertex. Show…

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Q: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

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Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

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Q: Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and…

A: Now, to find the sides of the triangle, the distance formula is to be used between each of the…

Q: Prove that the points 3,0),(4, 5),(-1, 4) and (-2,-1) taken in order, Lorm a rhombus, also find its…

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Q: Find the area of the triangle determined by the points A(-1,4, 7), B(3, –1,2) and С(4,4, 4).

A: It is given that, A(-1,4,7) , B(3,-1,2) , C(4,4,4) We have to find the area of triangle determined…

Q: Find the coordinates of the point B that lies along the directed line segment from 3. A(-3,-2) to…

A: According to our company's guidelines, I can only answer first question since you asked multiple…

Q: Compute the areas of the polygons in Figure 28. Check your result for the area of the triangle in…

A: Consider the provided information, Find the area of the of the triangle.

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: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3),…

A: We have given vertices of the triangle as P-1, 2, 3, Q1, 2, 1 and R2, 2, 1. First, we have to find…

Q: Find the area of a triangle with vertices A(1, 3, 5), B(-2, -3, -4) and C(0, 3, -1).

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Q: 3. Find the surface area of the parallelepiped with adjacent edges u = (4, 7, -8), v = (-2, 5, 11),…

A: Solution :18

Q: A quadrilateral has the following vertices given:  P1 (1, 4), P2 (3, 4), P3 (3, 6), P4 (1, 6).  The…

A: Given points are :  P1(1,4) , P2(3,4) , P3(3,6) , P4(1,6). We will first plot those points in a…

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: Find the area of the triangle having the given vertices (0, 0), (6, 0), (0, 7)

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Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Find the area of the triangle having the given vertices. (3, 2), (4, 2), (-2, 6)

A: Answer

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2,…

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Q: Find the area of the parallelogram with vertices at (3, –3), (11, 1), (12,-5), and (20, –1). Area =

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Q: Find the area of the triangle having the given vertices. (1, 2), (2, 2), (-1, 6)

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Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: 8 If the shaded square has center at C and an area of A, find C and A. 'y-axis C• (-4, 0) (0, 0)…

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Q: Show that the points form the vertices of the polygon. right triangle: (−4, 5), (0, 7), (2, 3)…

A: The given points are -4,5, 0,7, 2,3

Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

Q: 10. Triangle JLM with vertices J(-5, 7), L(8, 3), and M(-3, -1): (0, – 5) J'(__ L’(__ M’ (__,

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Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.