If r,z are two vectors in R'and r (3.1,7.05.-13.7,8.09),z =(-93,2.2,-4.81,1.11) then O a. 23.479 b. 23.497 O C. 23,478 d. 23. 749

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Q: linear Consider the following vectors in R³: V= (-1,7,2), u₁₁ = (1,3,5) U1₂ = (2₁-1₁3), (13=…

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Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

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A: Given vectors:v1=1-320, v2=025-4 and v3=12-21 be given vectors in ℝ4.We have to check which of the…

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Q: 5. Express u = (-4, 3, —2) using the unit vectors.

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Q: Consider the following vectors: 3 9 -6 6. b= -9 9 3. 10 -9 For each of the following vectors,…

A: Solution

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: . Show that the vectors = (0, 3, 1, -1); v, =(6, 0, 5, 1); v, = (4, -7, 1, 3) form a linearly…

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Q: 7. Let -4 4 a. How many vectors are in {V1, V2, V3}? b. How many vectors are in Col A? c. Is p in…

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Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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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: 3. Add the vectors shown.

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Q: What if the vector v was [ 7, 11, 3]

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Q: Let a = (8,-6,7) and b = (-1,4, -3) be vectors. Compute the following (the answers to A, B, C are…

A: Given vectors  a = <8,-6,7> b=<-1,4,-3>

Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

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

A: Step 1:

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: For what values of do V1= (a, 0, 0), v2=(5, a-4, 0), V3=(4, 3, a+4) a the following vectors form a…

A: Given n vectors in Rn are dependent or independent based on determinant of a matix, whose columns…

Q: ) The vectors (3,0,0,0), (0,−1,2,1), (6,2,−6,0) and (3,−2,3,3) in ?4 are linearly independent.

A: solve the following

Q: Determine by inspection the linearly independent vectors !! O a. O b. O C. с. -8 12 4 -2 2 5112]…

A: To determine by inspection the linearly independent vectors.a -812-4, 2-3-1, 000b 51, 28c 4-26, 6-39…

Q: Let a = (a1, a2), b = (b₁,b2) be vectors in R². The area(a, b) is given by 1b₂-a2b₁. (a.) Show that…

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Q: Let u = (-1,-6,0), v= (6, 1, -3), w = (16,-9, h - 3). Determine the value for h so that w is in the…

A: To find the given questions related to span of a set :-

Q: Let S be the set of vectors in R4 (S = {V1, V2, V3, V4, V5}) where, V1 = (1,2, −2, −1) v₂ = (-3, 0,…

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Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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