Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 3i + 3j − 4k, b = 2i − 2j + 4k, c = −4i + 4j + 3k

Q: Find the area of the parallelogram that has the vectors as adjacent sides. AB= 6i + 6j - 6k, AD = 6i…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are find the cross product

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: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

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Q: The scalar triple product of three vectors gives the volume of the three-dimensional parallelepiped…

A: The Volume of the three - dimensional parallelepiped descrived by the vectors  is the scalar tripple…

Q: If a=0i+-2j+ 5 k and b = −4 i+−6 j + −9 k find the magnitude of a, the magnitude of b and the scalar…

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Q: Find the orthogonal complement to the row space of A and its dimen- sion.

A: Given , A = 125213037 Then , the now-space is span of                   (1,2,5)  ,  (2,1,3)  and…

Q: Find the volume of the parallelepiped defined by the vectors 37 2 1 2 3.

A: Introduction: The volume of parallelepiped that defines by the vectors a, b, and c is given by,…

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: If a, b and care non-coplanar vectors, prove that the four points 2a+3b-c, a-2b+3c -> 3g+4b-2c and…

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Q: Calculate the cross product. (5i - 3j + 8k) × (i + j − 8k) = ai + bj + ck (Give your answer using…

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Q: A unit cube (whose length, width, and height are 1 unit each) with a vertex at the origin lies in…

A: Given, cube is-

Q: 2. If a --i+3j-k and E-2itj-3K decompose vectoes E into the sum of two vectors, one is paralled and…

A: This question can be solved using the concept of condition of two vectors to be parallel and…

Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. uxv (a) (b) vxu (c) vxv

A: You have posted multiple question in this question which are not interlinked so i have solved first…

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: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (4, 2, -2), b = 3…

A: Given:- a = (4, 2,-2), b = (0, 2, 1), c = (4, -3, 4) To find :- Volume of Parallelepiped

Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: Find the area of the triangle with two sides given by the vectors a = i – j+ 4k, and b = 2i – 4j+1k

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Q: Q.5) Determine and what is the differences between the two results. Also prove that is orthogonal to…

A: We have to find the difference between the vectors A→=-i^+8j^+4k^ and B→=i^+18j^-6k^. Also, prove…

Q: i+ 2j+ k and w = 2i - j+ 4k. Find the area of the parallelogram with sides given as v and w. !!

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Q: Q2/ A) Knowing that A 2i+mj+k & B-5i+j+ 4k are perpendicular vectors. Find the value of m then find…

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