5. A parallepiped has its base formed by vectors B = -2i + 3k and C 7j-4k. The vector outside of plane formed by b and C is A = 1 + 2j -k. a) Find the area of the base. b) Find the height c) Find the volume.

Q: ude 5. Find the area of the triangle created by the

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

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Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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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: a) Show that the three vectors A = 2i – j+ k , B = i - 3j – 5k, Č =-3î + 4j + 4k %3D form the sides…

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A: Given that the vectors a=3i+3j-4kb=2i-2j+4kc=-4i+4j+3k     .

Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

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A: Given a→=(2;1;1)b→=(3;0;1)and c→=(1;1;2)we find volume oF parallele piped

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Q: D Use the regular hexagon provided to write each of the expressions as a single vector. a) AE + DB…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Let the following three vectors be A = 3 i +4j-7 k, B=6i-12j-21…

A: Given, A→ = 3 i +4 j -7k , B→ = 6 i -12 j -21 k, C → = -13i - 8j + k |A→| = 32 + 42 + (-7)2 =…

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A: We recall formula and then solve this problem.

Q: Find the volume of the parallelepiped determined by the vectors ū = 2i + 3j -k, v = i + j - 2k W =…

A: