Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3 (5, 0, —1). А. 14 В. 15 С. 16 D. 17

Q: 13. Find a vector equation of the line through (2, 1) parallel to (x, y) = (-2,7)+t(3,5). 14. Find a…

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Q: 2 3 Given the following three vectors u = 10 v = -5| and w = 6 8. [-22]

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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: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

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: 3. Given two vectors x = [0, 1, 1] and y = [- 3, 0, 0], use your knowledge of vectors to determine…

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Q: 2 3 Given the following three vectors u = 10 v = -5| and w = 6 8. [-22]

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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: 2.2. Find all solutions of the vector equation XịVi +X2V2 + X3V3 = 0, (1,0,1)7. What conclusion can…

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Q: () v () » 6) 3. If {V,, V,, V} are a set of vectors in R" given by V, = 2 We can determine that the…

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Q: 12. Given vector p = 5i – 3j + 2k and vector i = i – 2j + 2k if ř is the orthogonal projection of…

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Q: 10. Find a unit vector in the same direction as PQ if P = (5, 4) and Q (3, 7). %3D

A: The solution is given as

Q: 13. Determine the value of x and y in each of the following: a. 3(x, 1) - 5(2, 3y) = (11,33) b.…

A: (a) 3x, 1-52, 3y=11, 33 (b) -2x, x+y-36, y=6, 4 To Do: We have to determine the value of x and y in…

Q: 15 3. 1 and v2= - 9 description of Span (v, v,} for the vectors v, %3D 1: 3 ect answer below. 1.V}…

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Q: 4 Vi = 2 V2 -4 -22 ? -16 Which weights should be used for b = a1vị + a2V2 to obtain the vector b =…

A: given                                            v1=42, v2=-6-4 Also…

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

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Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: 2. Determine the volume of the parallelepiped formed by the following vectors (a) ā = (2, –6, 2), 5=…

A: Given: a. a→=2, -6, 2, b→=0, 4, -2, c→=2, 2, -4. b. a→=4, -8, 1, b→=2, 1, -2, c→=3, -4, 12. To be…

Q: Que. 1: Examine the following vectors for linear dependence X, =[1 2 4], X, = [2 -1 3], X, =[0 _1…

A: Write these vectors as rows in the matrix, convert the matrix to echelon form. If the echelon form…