Let u = (2, 1, -2), v= (0,3,-5), and w = Compute the indicated vectors. (a) u × v = (?, ?, ?) (b) - u x v = (?, ?, ?) (c) u x (v + w) = (?, ?, ?) (1, 6,5).

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: Consider the vectors u=(2,3,-5), V = (-3, -2,6) and w=(-4,8,4). Calculate u.v

A: We have to find u.v

Q: Find vectors A and B such that A is parallel to (2, 1,-1), B is perpendicular to (2, 1, -1) and A +…

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Q: Write N(A) as the span of a vector (r vectors). What is dimN(A)? Why?

A: Null space, N(A) is the set of all vectors x in R^4 here, which are solutions of the equation Ax=0,…

Q: Find the cross products u xv and vxu for the vectors u = = (3,5,0) and v = (0,3, - 6). uxv = (Di+…

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Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the projection of the vector a = (2, 5, 1) on the vector b = (1, 1, 3) O a. (10/11)(ax + 3ay +…

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Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

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Q: Show that the vectors (1,0,1); (-1,2,3) and (0, 1; -1) spans R³

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

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Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: a. From the set of vectors{ (1, 2, –1). (-4, –5, –6), (4, 3, 10). (5, –3,2)}. select two pairs of…

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Q: Let v = (7,8). Suppose w E R2 is perpendicular to v, and that ||w|| = 9. Find both possible vectors…

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Q: Given the vectors u = (2, -3, 1) and v = (-3, 1, 2) determine u x v.

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Q: 6. Show that the vectors (1,1,0), (1, 0, 1), and (0,1,1) generate F3.

A: In this question, we will show that the given vectors generate F3 .

Q: snip

A: Since you have multiple problems ,we solve the first three problems for you.To get the complete…

Q: Let u+ v = (3, –2) and u – v = (-4, –3). (a) Find u and v. (b) Draw the vectors u, v, – u, - v, u+v,…

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Q: Write the following vectors in terms of the unit formula: u1=(1,0) u2=(0,1); 1- (0,2) 2- (0,-5) 3-…

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Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

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