25. 2i + j - 2k 26. 9i – 2j + 6k 28. i +k 27. 5k j 29. i --* k V6 30. V3 V3 V3

Q: 4. (a) Find the unit vector that has the same direction as (3,4,0). (a) Calculate the distance…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Here we have to determine whether or not the following set of vectors { u, v, w } are both…

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Q: Can the vector (3, −5, 2) ∈ R3 be written as a linear combination of the vectors v1 = (2, −3, 1) v2…

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A: Given          v =( -5, 12, 0 )

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Q: Find a unit vector that is orthogonal to both u and v. u  =   −8, −6, 4   v  =   10, −18, −2

A: Given Vectors,u=⟨−8,−6,4⟩V=⟨10,−18,−2⟩We have fo find unit vector that isorthogonal fo both u and vA…

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Q: 3. Find the projection of u = (2,1,2) onto v = (0,3,4) and the vector component of u orthogonal to…

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Q: (c) Are the vectors = (3, 1, 2, 1), v2 = (-1,0,1,0), 03 independent? Explain why. (3,0,0,3), v4 (5,…

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Q: Are vectors v = ⟨ − 2 , − 3 ⟩ and u = ⟨ 6 , − 4 ⟩ orthogonal? Yes or No:

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Q: What is the unit vector for the vector (-9.53, 13.04, –13.15)? Answer: ( Nete

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Q: 2 3 Let u and v %3D . Find the length of 2u and the length of -v. - Find the distance between u and…

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Q: (0, 6) to perform the indicated operation. Then determine For Exercises 19–28, use vectors u = (-4,…

A: u=<-4,1> , v=<5,-2>, w=<0,6>

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, –1)

A: the given vectors are: u=-8,-6,4v=17,-18,-1 we have to find a unit vector that is orthogonal to both…

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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: Find the unit vector parallel to the sum of the vectors a [2, 4, -5], b = [1, 2, 3]. a.

A: Two given vector are ; a= 2i + 4j - 5k b= 1i+ 2j + 3k Resulting of vector a  & vector b  R= a+ b…

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Q: Find the length of the vector. v = (-2, 0, 5, 1) %3D ||| M = %3D

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Q: Find a unit vector u in the direction of v. Verify that u|| = 1. v = (-6, -4)

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Q: Hi, any help with this calc 3 problem would be appreciated. Thank you!

A: Given: Vectors in ℝ3                                                         -20-3, 114, and -124 To…

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Q: QUICK CHECK 6 Verify that the vector (is. 15) has length 1. <

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Q: Determine if the vector is a linear combination of the remaining vectors. Explain the steps.

A: We will check whether the vector v is linear combination of others or not.

Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

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A: We can answer it as below

Q: Wete a system of equations that is equivalent to the vector equation: 国-

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Q: Q3: Find the scalar and vector components of the vector with initial point (2, 1) and terminal point…

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Q: Find a unit vector u in the direction of v. Verify that |u|| = 1. %3D v = (-6, 6) u = Need Help?…

A: To find the unit vector u in the direction of v = (-6,6).

Q: Q.2B) Evaluation of JA- 2B through define length of the vector |A] equal to ) and length of vector…

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Q: 3. Find the unit vector that has the same direction as the vector perpendic- (4, -1, 3) and b=…

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Q: Express the vectors in Exercises 9–10 in terms of their lengths and directions. 9. 22i + 22j  10. -i…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) (10, -12, -2) %3D V =

A: Find the unit vector that is orthogonal to both u and v

Q: 2a)Use triple scalar to verify that the following vectors are not coplanar. a=[-2,1,0], 5=[-3,4,5],…

A: Given problem:- 2a)Use triple scalar to verify that the following vectors are not coplanar.…