Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

Q: state a vector with all non-zero entries which is orthogonal to v⃗

A: Given v vector  Let w vector be orthogonal to v vector  Then w vector . v vector = 0

Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: Calculate r'(t) and T(t) and evaluate T(1). r(t) = (6 + 7t,12,5 – 1²) (Give your answers using…

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Q: 1. Find the vector component of the vector ū (-3, 6, 2). [28, 63, 0] in the direction of = %3D

A: We have to find vector component of u =[28, 63,0]  along the direction v=[-3, 6,2] Vector component…

Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Let m = (-3,1,5) and n = (5,-1,2). calculate the vector p = n - ((m*n)/(m*m))*m.

A: here we get p=0

Q: Show that the vectors 2 -2 2 uj = 2 uz = 3 uz = 7 1 -5 -3 are linearly dependent. Find all r1, x2,…

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Q: Let F = sin(4x +3z) i-6ye*z k. Calculate div (F) and curl (F). (Express numbers in exact form. Use…

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Q: Find the vector pointing in the direction opposite that of (6, –8) with length 20.

A: The given vector  6,-8 For a given vector v, to find a unit vector u in opposite direction of v…

Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

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Q: Let a and b be vectors in R" such that ||a||=||||= 2 and <a,b)=3. Then ||a-b||= ..

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Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

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Q: Find the vector in component form with initial poi

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Q: Find a vector orthogonal to both (-3, 2,0) and to (0, 2, 1) of the form (1,

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Q: Find all values of a so that u and v are orthogonal. (Enter your answers as a comma-separated list.)…

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

Q: Find the orthogonal projection of the vector onto the vector .

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Q: f possible express the vector v as a linear combination of 1, V2, and V3. b) v = (0, 0, -1), V₁ =…

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Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: Find a vector orthogonal to both ⟨1,−10,0⟩ and to ⟨0,7,4⟩ of the form

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Q: Vektor m =[5, -2, 1] Vektor n =[-6,-2, 4] a. find vektor p where p = -2m+0.5n b. find vektor…

A: a) write p in terms of m and n with the given relation p =…

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: (a) Express the vector a × b in the form aa + 3b + yc, assuming that the vectors a, b and c are not…

A: a)  Look care fully that we need to find the coefficients   namely α,β,γ   Determination of α:…

Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.