Find the area of the parallelogram with vertices P,, P,, P, and PA. P, =(1,2, - 1), P2 = (5,3, - 5), P, = (4, - 2,2), P4 = (8, – 1, - 2) The area of the parallelogram is ype an exact answer, using radicals as needed.)

Q: Find the areas of the triangles whose vertices are given A(1, -1, 1), B(0, 1, 1), C(1, 0, -1)

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Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

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Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0, –1), C(1, 2, 3), and D, then اخترأحد…

A: We have to find Coordinate D, Area of parallelogram and projection of BC onto BA.

Q: The vertices of quadrilateral JOHN are J(-3,1), O(3,3), H(5,7), and N(-1,5). Use coordinate geometry…

A: We are given the vertices J(-3, 1), O(3, 3), H(5, 7), and N(-1, 5). Let us plot the graph first.

Q: The parallelogram (ABCD) has vertices at A(2, -1, 4), B(1,0,-1), C(1,2,3), and D, then اخترأحد…

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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 a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P1=(1,3,1), P2=(1,2,3), P3=(0,-2,2)…

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Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

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Q: Find the area of the triangle with vertices: Q (5,-5,0), R (5, -7, 2), and S (6, -2, 1)

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Q: Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7,…

A: To find the area of the given parallelogram, use the vector method which is described as.We know…

Q: ind the area of the parallelogram with vertices A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

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Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

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Q: Find the area of the parallelogram with vertices K(1, 2, 1), L(1, 5, 2), M(6, 10, 2), and N(6, 7,…

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Q: 13. DETAILS SCALCET9M 12.4.027. Find the area of the parallelogram with vertices A(-3, 0), B(-1, 6),…

A: To find the area of the parallelogram with vertices A-3, 0, B-1, 6, C8, 5, and D6, -1.

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, -2,…

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Q: Find the area of the parallelogram with vertices A(-1,4,4), B(0, 6, 9), C(1, 3, 3), and D(2, 5, 8).…

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Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

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Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0,-1), C(1, 2, 3), and D, then اخترأحد…

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Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

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Q: CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the…

A: Follow the procedure given below.

Q: Find the area of the parallelogram with vertices P(2, 3, 3), Q(5, 5, 6), R(10, 9, 14), and S(7, 7,…

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Q: he coordinates of the vertices of quadrilateral HIJK re H(1, 4), I(3, 2), J(-1, –4), and K(-3, -2).…

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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: Find the areas of the triangles whose vertices are given A(1, 0, 0), B(0, 2, 0), C(0, 0, -1)

A: To find the area of the triangle

Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Consider a rectangular box below A (2,3, 5) 1.2 Find the length of the diagonal of the box…

A: O= (0,0,0) A=(2,3,5)

Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

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Q: Find the area of the parallelogram with vertices P(1, 3, 2), Q(2, 6, 4), R(4, 12, 12), and S(3, 9,…

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

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Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: Find the projections of a regular hexagonal pyramid given by the axis o(M[-40,15,30],N[5,45,45]),…

A: Edge of base =20 {mm}Axis length =40 {mm}Resting on one of its triangular face on (Ground) HPEdge of…

Q: Consider the parallelogram with vertices at (0,0), (4, 0), (2, 3), and (6, 3). Where do the…

A: Diagonal of parallelogram bisects each other

Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…

A: Given points  A(3,-1,2) B(2,1,5) C(1,-2,-2)

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: The vertices of a quadrilateral are G(4, - 1), O(0, 0), L(2, 6), and D(6, 5). Show that…

A: Given: The vertices of a quadrilateral GOLD          G4,-1O0,0L2,6D6,5…

Q: The points R(-1, 1, -3), S(3, -3, 6), T(0, 0, 10), and U(2, 4, 7) are the vertices of parallelogram…

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Q: 13. DETAILS SCALCET9M 12.4.027. Find the area of the parallelogram with vertices A(-3, 0), B(-1, 6),…

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Q: Find the area of the parallelogram with vertices: P (0,0,0), Q (5,-5,0), R (5,-6,1) and S (10,-11,1)

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Q: Find the area of the parallelogram with vertices A(-3, 0), 8(-1, 4), C(6, 3), and D(4,-1).

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Q: Find the area of the parallelogram with vertices (0,0), (4,0), (5,2) and (1,2). (1,2) (5, 2) (0,0)…

A: Here, we need to find the area of the given parallelogram.

Q: 1.3 Find the area of the parallelogram with the vertices A(-5,–4), B(2, –4), C(4,4) and D(-3,4).

A: Since you have posted more than one question, we will solve the first one for you. To get remaining…

Q: Find the area of the parallelogram with vertices  A(−3, 5), B(−1, 8), C(3, 6), and D(1, 3).

A: We first have to find the AB and BC vectors. A(−3, 5), B(−1, 8), C(3, 6)AB=(-1 -(-3) , 8-5)…

Q: Find the areas of the triangles whose vertices are given A(0, 0, 0), B(-1, 1, -1), C(3, 0, 3)

A: Given the vertices of the triangle A(0,0,0) , B(-1,1,-1) and C(3,0,3) We need to find the area of…

Q: Find the  area of the triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…