Three edges of a parallelepiped coincide with the position vectors: (₂) 0 What is the volume of the parallelepiped? u = a) b) 10 22 2 d) 14 I v -() = and w = 2 (33) -3

Q: If the volume of the parallelepiped determined by the vectors A = i +ak, B = 8i-5j + ak and C = 2i…

A: Given vectors are A = i + αkB = 8i - 5j + αkC = 2i + 3j - 8k

Q: The volume of the parallelepiped determined by the vectors à =,b = and c= is: (A) 12 (B) 6 (C) 24…

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Q: Find the volume of a parallelepiped with the given vectors as adjacent edges. u=(-9,-3,-4> V= w=

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Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors â = [1, 0.-3), 5=…

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Q: Q1A)Find volume of parallelepiped which sides the vectors A = i +j+k B = 2i3j+k, and C = 3i-j- 4k.…

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Q: Let u = (-5,-2, 4), v = (3,6,-5) and w (-7,1,-8). (a) Calculate (u x v). w and hence find the volume…

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Q: Use the scaler triple product to show that the vectors a = b= (2,-1,4> and c <0, -9, 18) are…

A: Let three vectors are as follows If these three vectors are coplaner then

Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P…

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Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: ● Let u = 2-25 - 2k + ● and = 2î - 2Ĵ+k. Find a vector w such that the parallelepiped spanned by u,…

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Q: A parallelipiped is constructed using vectors (8.1,2.3,0), (9.5,2.0,0) and (7.3,-2.1,7.7), what is…

A: To find the volume of parallelepiped.

Q: Find the volume of parallelopiped formed by the vectors , and

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Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

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Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). | (a) Find the volume of…

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Q: Find the volume of the parallelepiped determined by the vectors a = 2i+3j−2k, b = i−j and c = 2i+3k

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Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A).C,…

A: Cross product of the vectors

Q: Find the volume of the parallelepiped spanned by the vectors i +j+ k, i –j+k and 3k.

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Q: Find the volume of the parallelepiped that the vectors u, v, and w generate.

A: We recall formula and then solve this problem.

Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ),v(PR), and v(PS) respectively 31…

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Q: 5. Calculate the volume of the parallelepiped spanned by the vectors below. Interpret your answer.…

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Q: Find volume of the parallelepiped determined by the vectors a = (8, 1, 0), b = (1, 6, 1), and c =…

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Q: Find the volume of the parallelepiped determined by the following vectors. a) u = (3,2,8), v = (5,…

A: Find your answer below