If Lo and Li are parallel, then vo = is a scalar multiple of vi = . اختر احدى الدجابات

Q: Find three mutually orthogonal unit vectors in R° besides +i, ±j, and tk. 3

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Q: vector v is multiplied by the scalar -, the resulting vectór 4' smaller than v and in the same…

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Q: Let u = -i + j, v = 3i - 2j, and w = -5j.Find specified scalar 5u . (3v - 4w)or vector.

A: It is given that  u = -i + j, v = 3i - 2j, and w = -5j

Q: Show that, û . ûm = 0, Use only the fact that û,is a unit vector. Interpret this result.

A: Here we need to prove that dot product of a unit vector and its derivative is zero. Here we use the…

Q: Solve numerically for The scalar projection of vector u onto v

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Q: Find a-Vectak S unit, tengte inthedirectionofthe Vector A-ixjtk-

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Q: The cross product of two vectors in R yields a scalar. True False

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Q: Find the scalar and vector projections of b onto a, where a = (2, −2, 1) and b =  (IMAGE)

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Q: Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2).

A: Consider the following values: magnitude=6unit vector=12i^+32j^

Q: Let u = -i + j, v = 3i - 2j, and w = -5j.Find specified scalar 4u . (5v - 3w)or vector.

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Q: Let u = -i + j, v = 3i - 2j, and w = -5j.Find specified scalar proju(v + w) or vector.

A: Here given vectors as u = -i + j, v = 3i - 2j, and w = -5j. Thus  v+w=3i-2j+-5jr(say)=3i-7j

Q: What is the definition of the triple scalar product for vectors u, v, and w in ℝ3?

A: To Define: Scalar Triple Product for vectors u, v and w in ℝ3.

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 31 + 2j - 3k, b =…

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

Q: Find a vector that is oppositely directed to v = with a length of 4

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Q: Find the scalar and vector projections of b onto a. 3i - j + 6k, b = j+ k 2 compab = 46 (3i-j+ 6k)…

A: Given a=3i-j+6k    b=j+12k

Q: Find the scalar and vector projections of b onto a, where a=⟨−1,1,2⟩ and b=⟨−1,5,4⟩

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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

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A: If F1 and F2 are two forces simultaneously acting on an object, the vector sum F1+F2 is called the…

Q: Show that the vectors 3 do not span R° by giving a vector not in their span.

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Q: The ________ ________ of two vectors yields a scalar, rather than a vector.

A: Given as  The ________ ________ of two vectors yields a scalar, rather than a vector.

Q: Find the volume of the parallelepiped defined by the vectors 3 -3 -5 2 -3 Volume: %3D

A: Given:The given vectors are a=(3,-3,-3), b=0,-5,1,c=0,2,5To find:The volume of…

Q: Find the scalar and vector projections of b onto a, where a = (-1, 1, 2) and b = (-2,7,2). 1. comp,…

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Q: Find the scalar and vector projections of b onto a. = (3, –6, –2), b = (3, 3, 2) a

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Q: Find the magnitude of the projection of ⟨-3,-2⟩ onto the vector ⟨1,-2⟩

A: I have appended the formula used in the solution part of the question

Q: Find the scalar and vector projections of b onto a, where a = (-1,1,2) and b = (-4,5,8).

A: The solution of the problem is given in the next step.

Q: Find the scalar and vector projections of d = (4, 2, –5) on b = (3, –1, 6).

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Q: Find the scalar and vector projections of b onto a, where a = (1, 2) and b = (-4, 1). 1. comp, b 2.…

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Q: Find three mutually orthogonal unit vectors in ℝ3 besides ±i, ±j, and ±k.

A: Vector: At first we can take a=<1,1,1> The second case we can take b=<0,1,-1> The…

Q: Find the scalar and vector projections of b onto a, u

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Q: Write four forms of dot product for two vectors A and B by defining their metric tensor?

A: The dot product of two vectors, A and B in metric tensor form can be written as A→·B→=gμν aνbμ ,…

Q: Find the scalar and vector projections of b onto a. a = 3i - j + 6k,     b = j + (1/2)k compab =…

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Q: Find the scalar and vector projections of b onto a. а - (-4, -3), ь - (6, 0) compab projąb

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Q: Find the volume of the parallelepiped defined by the vectors 2 4 -4 -2 4 3.

A: We have to find volume

Q: Charge is not scalar ylan O İhi O

A: We have to find that charge is scalar or not

Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b= (3, 2, 1) compab projb=

A: Given a→=−3,−6,2 and b→=3,2,1 We have to find the scalar and vector projection of b→ onto a→. The…

Q: Is it possible to take a dot and cross product of a scalar with a vector? Explain with example.

A: It is not possible to take a dot and cross product of a scalar with a vector.

Q: Find the scalar AND vector projections of a onto b where a=(0,1,-2) and b=(-1,0,3)

A: Given , a = (0,1,-2) and b = (-1,0,3).

Q: Find a vector that is oppositely directed to v = with a length of V3

A: We have to find the vector by given data

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1.3,4). b =…

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Q: Find the scalar and vector projections of b onto a. a = 3i - j+ 6k, b = j+

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Q: Determine whether the statement " The mass of a book is a scalar.",is true or false. If it is false,…

A: Our Aim is to determine whether the statement:-"The mass of a book is a scalar." is true or false…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar lul.

A: Given vectors are u=2i-5j, v=-3i+7j and w=-i-6j. To find: u  Solution: Magnitude of a vector is…

Q: In Cartesian coordinates, a rank-2 tensor is given by Į = Tr£xx + Tvz£xz+ Tyy£yy and a Cartesian…

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Q: Find the scalar and vector projections of b onto a, where a = (1,2) and b = (-–9, 1). %3D 1. comp, b…

A: We have to e the magnitudes of thr given vector first.

Q: The scalar projection of the vector 7 = (-2, 3, 1) on 7= (2m, -1, 3) is -1. Determine the value of…

A: Follow next step

Q: Find the scalar and vector projections of b onto a. (4, 7, -4) ь 3 (3, -1, 1) a

A: a=4, 7, -4, b=3, -1, 1 1. Scalar projection of b onto a is Proj ba. Proj ba=b·aa          =3, -1,…