Perform the following operations on the vectors u = (1, 3) and v = -3,4, a. |v| b. u· v c. Angle between u and v

Q: Find the unit vector that has the same direction as the vector v = i + j.

A: For the vector ai∧+bj∧ ,unit vector is given by ai∧+bj∧a2+b2

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Q: Perform the following operations on the vectors u = (1, 3) and v = = (-3,4) %3D a. v b. u · v C.…

A: Please see the answer below.

Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

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Q: For the following pair of vectors, find U · V. U = 6i + 7j, V = 7i + 6j

A: This question is based on Dot product.

Q: Determine the angles made by the vector V = (-59)i + (11) j with the positive y-axis. 169.44° O…

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Q: Find the positive value for which the vector r(t) = (3t, 10t², 7t² – 2) is perpendicular to r'(t).

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Q: B. Compute fa(P) where u is a unit vector in the direction of v. a) f(x, y) = x2 + 2xy + 3y?, P =…

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Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: photo attached

A: Given vectors are

Q: For the pair of vectors, find U + V, U – V, and 4U + 3V. U = 2i + 7j, V = 7i + 2j U + V = U - V = 4U…

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Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: Perform the following operations on the vectors u = (1, 3) and v = (-3,4) a. v| b. u· v C. Angle…

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Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: Perform the following operations, given the following information about the vectors: Given u =,v = ,…

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Q: Find b so that the vectors v = i + jand w = i + bj are orthogonal.

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Q: photo attached

A: Given,

Q: Find the cross products u×v and v×u for the vectors u=3,4,0 and v=0,2,−5. a) U * V = i?, j?, k?…

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Q: Preform the indicated Operations for the given vectors. v= w= s= r= s+w

A: for the addition of the two vectors we add the respective components of given vectors. i.e,…

Q: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

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Q: For the given vectors a and b, find the cross product a x b. a = i +j+ k, b = 5i - 2k

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Q: Preform the indicated Operations for the given vectors. v= w= s= r= 3(v+2w)-s

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Q: For the pair of vectors, find U•V. U = 4i+j V= 3i-j O 8 O 12 O 13 O 1 O 7

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Q: Which of the following vectors are equal to j × i?(a) i × k

A: We know that, i×j=k Therefore, j×i=-k Hence the answer.

Q: For the following pair of vectors, find U · V. U = 6i + 2j, V = −6i + 2j

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Q: For the following pair of vectors, find U · V. U = i + j, V = i − j

A: We need to find scalar product of two vectors

Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: Which of the following vectors are equal to j × i?(a) i × k(b) −k(c) i × j

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Q: Find the cross products U * V and V * U for the vectors U= 3i-j-2k and v=i+3j-2k U*V = ?i +?j+?k…

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Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: How does the cross product i x ì relate to the vectors ở and i geometrically? Use this to compute d…

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Q: For the following pair of vectors, find U · V. U = −7i, V = 9j

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Q: For the given vectors u and v, find the cross product u × v. u = 7i − j,  v = −7j + k

A: Given : u=7i-j  and v=-7j+k To find: The cross product of u and v : u x v

Q: Find the following using the following vectors v = 5j – 3k, u = i+j+k a. v.u, lv), Ju| b. The cosine…

A: 5.(a) Consider the given vectors. Rewrite the given vector v.v=5j-3k=0i+5j-3ku=i+j+kDetermine the…

Q: Find the angle between the vectors foru and v given below. u = i +j,v = 3i -2j For the toolbar,…

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Q: Find the distance between the two vectors. u= (-6, – 1), v =(1, - 6) O A. 37 О В. 37 О С. 74 O D.…

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Q: Evaluate / V1+ x² + y°dS, where S is the helicoid with vector r(u, v) 0 <u < 3, 0 < v< T

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Q: Find a vector w that bisects the smaller of the two angles formed by 15 i + 8 j and 40 i – 9 j. w =

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Q: For the pair of vectors U = 9i + 4j, V = 5i + 5j, find U + V, U - V, and 4U + 5V. U + V = ( )i + (…

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Q: For the following pair of vectors, find U · V. U = −2i, V = 9j

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Q: Perform the following operations on the vectors ū = (5, –2, 1), v = (-1, –2,0), and (3, 3, –4). w =…

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Q: Find the following for the vectors v = - 9i + j and u = - 5i + V3j. a. v•u, Įv], and |u| b. the…

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Q: Perform the following operations on the vectors (3, 2, −4), v = (-1, 5, −2), and = (0, 4, 2). ū = ū.…

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Q: Find the following for the vectors u = - 9 i-2j + v2 k and v = 9 i+2 j- v2 k. a. v•u, v|, and u b.…

A: Let a→ = a1i^ + b1j^ + c1k^ and b→ = a2i^ + b2j^ + c2k^ two vector. Then, a.b = a1a2 + b1b2+c1c2 a…

Q: Perform the following operations, given the following information about the vectors: Given u =, v =…

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Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: Þ(x, y, z) = e¬x²-y²-z²+2yz

A: First take gradient and magnitude of gradient

Q: Which of the following planes are parallel to the vector (4, 1,-5)? Select one or more: O a. 6x + y…

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Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.