Vectors with equal projections Given a fixed vector v, there is an infinite set of vectors u with the same value of projvu. Find another vector that has the same projection onto v = ⟨1, 1⟩ as u = ⟨1, 2⟩ . Draw a picture.

Q: Detexmine the Vectors are lineably independent -3 -3 6.

A: 2 vectors are given

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A: we have given two vectors u =1, 1, 3 & v= 2, 0, 1 we have to find a unit vector which is…

Q: 2. P.P, if P, is the point (1, 3) and P, is the point (2, -1). 3. OP, if O is the origin and P, is…

A: GIVEN : P1 = (1,3)               P2 = (2,-1) TO FIND : (2) P1P2 = ? (3) OP3 = ?

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: We are asked to find which vector is parallel to z

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

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Q: The vector v and its initial point are given. Find the terminal point. v = (5, -7, 6) Initial point:…

A: We can find the answer as below

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A: Triangle law of addition of two vectors

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: Two vectors are said to be parallel if they are scalar multiples of one another. or Two vectors are…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u.…

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: If z is parallel to a vector u then u =lemda z

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  let the vector v is

Q: The vector v and its initial point are given. Find the terminal point. v (3,-4, 6) Initial point:…

A: The basic concept used in this question is- Final vector - initial vector = vector

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Q: The vector v and its initial point are given. Find the terminal point.                   v = ⟨1, −2/…

A: Given:               Vector v = 1, -23, 12               Initial point: 0, 2, 52 To find:  Terminal…

Q: Vectors with equal projections Given a fixed vector v, there is an infinite set of vectors u with…

A: Given: v=1,1 projvu = projv⟨1, 29⟩.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: Given vector is z=<5,4,-7> Two vectors are parallel to each other if they are scalar multiple…

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Q: Orthogonal unit vectors If u, and u, are orthogonal unit vec- tors and v = auj + buɔ, find v•u1.

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: The given vector is z=3,2,-7

Q: , uand vare: Given vectors u = u and v are: Parallel vectors. Orthogonal vectors. None of these.…

A: Magnitude of u, u=232+-132+-232                             = 1Magnitude of v, v=232+122+-1162…

Q: Let u = (1,3, 5) and v = (-4,3, –7) be vectors in R³. Find Ju|. Find the unit vector in the same…

A: We have to find magnitude of u and unit vector in the direction of u.

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A: We know that a vector is terminal point - initial point.

Q: Find a unit vector perpendicular to c = (3, 4, −7) and d = (−1, −1, 3)

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Q: Find a vector that is orthogonal to v. v=

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: Given :  z = < 3, 2, -7> Let's find the parallel vector-

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: Given z=⟨7,6,-9⟩. We need to find vectors parallel to z. Two vectors are parallel if their direction…

Q: nitial Point     Terminal Point (−1, 1)      (3, −4)

A: Given that  Initial point =(-1,1)=OA And terminal point=(3,-4)=OB

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: * Formula *a→,b→ are parallel to each other if there exist λ∈ℝ such that.a→=λb→.

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: Option A

Q: Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the…

A: This question can be solved using the concept of projection and triangle law of vector addition.

Q: Quéstion 4 The Vectors u= (2,5, 3) and v= (2, 1,–3) are orthogonal to each other. True False

A: Using property of orthogonality,