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: Consider three vectors u = 3i +j+ ak, = 2i + bj +k, = -4i + (b – 2)3 + (b+ 8)k, where a and b are…

A: The solution are next step

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: 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 angle between the vectors 8i + 9j + 10k and 6i + 11j + 12k. ... The angle between 8i + 9j +…

A: Given that: vectors are: 8i+9j+10k and 6i+11j+12k

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 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: 3. Given the matrix B below, 2 31 2 -1 3 2 B = 4 3 1 2 3 2 0 71 Solve for det inv B.

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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 =i+3j-k, b= 4i+j-2k and c= - =…

A: a=i+3j-k,  b=4i+j-2k  &  c=-2j+5k

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: 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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Q: Calculate the integral 2 In(x) dx, if it converges. You may calculate the limit by appealing to the…

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