Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3). Find the area of parallelogram RSTU with vertice R(1,1,1), S(2,3, -4), T(3,-4,7) and U(-9,8,4).

Q: 02. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

A: Please refer the attached image for complete solution.

Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P =(1,2,1), P2= (1,1,4), P3…

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Q: Find the area of the parallelogram that has the vectors u = ⟨3, −1, 5⟩ and v = ⟨2, −4, 1⟩ as…

A: Now

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 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: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v, and w…

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Q: Find the area of the parallelogram with vertices A(-1,2,3),B(0,4,7),C(1,1,4) and D(2,3,8). Area = ?

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: 2- The distance between p, (2, 1, 5) and p2 (-2, 3,0) is

A: Given two points        p1 2,1,5 and p2 -2,3,0

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line…

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

A: From the given data:

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

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (2, 5, 3), Q = (– 3, –…

A:

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: Find the point @ along the directed line segment from point R(-2, 4) to point S(18, -6) that divides…

A: The given question can be solved as shown in step2.

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: Draw the image of quadrilateral ABCD under the translation (z, y)-(-7,y+1).

A: from the diagram coordinate of quadrilateral ABCD   is   A(6,-5)    B(0,-3)     C(5,-2)   and (5,-4)

Q: 2. Find the area of a parallelogram defined by PQ and QR when P = (4, 0, 1), Q = (5, -3, 0), and R =…

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Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: 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 using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

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: Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

A: If  A x1,y1,z1, Bx2,y2,z2,Cx3,y3,z3  are the vertices  of atriangle  ABC  then     the  Area  of…

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

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 area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8)

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Q: Line segment AB is drawn on the grid with endpoints at A (0,8) and B (6,0). Using a straightedge and…

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Q: Show that the lines 2x+3y-2=0, 3x-2y+23=0 and x-5y+12=0 are the sides of an isosceles triangle. Find…

A: Plot the given 3 st. lines and mark the intersection points forming the triangle.

Q: Find the area of the parallelogram with vertices P1, P2, F Р, 3 (2,2,3), Р,%3 (2,1,2), Р33(1,0, -…

A: We are asked to find the area of the parallelogram.

Q: Q2. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

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Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (– 6, – 1, 3), Q = (- 1,…

A: The corresponding position vectors with respect to origin are,…

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

A:

Q: Find the area of the parallelogram that has the vectors u = (3, -1, 2) and v = (5, -4, 1) as…

A: Area of the prallelogram using cross product

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 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 area of the parallelogram with the points A(2, 5, 6), B(4, 8, 10), C(11, 7, 9) and D(9, 4,…

A: Formula: The area of parallelogram = Length of cross product of adjacent sides. Given: Vertices of…

Q: Find the area of the parallelogram that has the vectors u = (5,-1, 4) and v = (2,-3, 1) as adjacent…

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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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 parallelogram defined by the vectors ä= (2, -2,0) and 6= (0,1,2)

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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: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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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)

A:

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: Find the area of the parallelogram that has the vectors u = (2, -1, 5) and v = (3, -4, 1) as…

A:

Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)

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Q: Find the cross product ax b: a=(2, – 1, 2), b=<0, 4, 5)

A: Given that: a=&lt;2, -1, 2&gt;b=&lt;0, 4, 5&gt;

Q: 10. Calculate the area of the parallelogram formed by the vectors a =(3, 2,-2) and b = (2,-1,2).

A:

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∧…