Compute the dot product of the vectors u and v, and find the angle between the vectors. u= (- 12,0,6) and v = (1,3,4). The dot product of the vectors is (Type an integer or a simplified fraction.)

Q: The dot product of vectors p = (3, -5) and q = (15,9) is A/

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Q: Compute the dot product of the vectors u and v, and find the angle between the vectors. 1= (-…

A: We have to solve given problem:

Q: Determine the two unit vectors that are orthogonal to A= . Which two unit vectors are parallel to A?

A: Given that, A = <1, 2> Suppose that <a, b> is orthogonal to the vector A = <1, 2>…

Q: 5. Determine the value of a so that the vectors v = perpendicular. (a,3, -2) and v - (2, -2a, 1) are

A: Solve the following

Q: Find the angle 0 between the vectors. u = (2, 2), v = (4, -4)

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Q: Find the dot product of the following vectors u and v.

A: There are two ways to multiply two vectors The dot product produces a scalar quantity It has no…

Q: Find the dot product of v and u and determine if the vectors are orthogonal. V = The vectors are not…

A: To find dot product of given vector.

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

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Q: . Compute the dot product of the given vectors and find the angle between them: a) u = (3,7,-2) and…

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Q: Find the angle a between the vectors -5 and

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Q: Given the vectors below, find the dot product. u = [-1,3, 2, 0] v = [-6, –4, –2, 7] u·v = Ex: 5

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Q: Find the angle θ between the two vectors.u = (3, 3), v = (−2, 2)

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Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨2, −1, 2⟩

A: a) Given that v=2, -1, 2 So unit vector in the direction of v is  vv=2, -1, 2(2)2+(-1)2+(2)2=2, -1,…

Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Part (a) Consider u1=0,2,4v1=3,1,0

Q: Find the angle between two vectors by using cross product (V,xV2) V, = 3i + 9j + 6k V2 = i + 3j + 2k…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=<-3,6>,…

Q: Which of the following is the correct value of the dot product for the vectors: u→=(6,−2,5) and…

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Q: Determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: We know that angle between two vectors a1,b1,c1 and a2,b2,c2 is given as θ=cos-1a→·b→a→b→        ⋯⋯1…

Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Given two vectors u=125,-45 v=12,-74 To determine whether the two vectors are orthogonal, we check…

Q: dot product

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Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: The dot product between two vectors v and u is given by                v·u=∥v∥∥u∥ cosθ where  0≤θ≤π…

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

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…

Q: Compute the dot product of the vectors u and v, and find the angle between the vectors. u3(-12,0,6)…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) the dot product of the two vectors a(-2,5) and b(3,6) a · b = ax · bx + ay · by = -2 · 3 + 5 ·…

Q: Determine the value(s) of ? such that the vectors [5, ?, −8 ] and [3, ?, ?] are perpendicular.

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Q: Consider the vectors u = (2,0) and v = (-4,4). Sketch the vectors, find the angle between the…

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Q: Determine the angle between the given vectors. a = 3i – 2j, b = 2i + 2j (b) и %3D (1,—4, 2), v %3D…

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Q: Determine the dot products of the following pairs of vectors. (a) (2, 4), (3, -4) (b) (3, –2, 5),…

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Q: Find the measure of the angle between the two vectors. 1) u = (4, 9) v=(-3, -8) 2) u = (-8, 9) v =…

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Q: sketch the vectors −→AB and −→P Q, and determinewhether they are equivalent A = (1, 4), B = (−6, 3),…

A: Given, A=(1,4), B=(-6,3) P=(1,4), Q=(6,3)     Sketch the vectors AB→ and PQ→, and determine whether…

Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Two vectors are said to be orthogonal if their dot product is zero. Let, ai+bj+ck and xi+yj+zk be…

Q: Find a unit vector in the direction of v = (-6, 8).

A: we have to find a unit vector in the direction of v=-6,8   as v=-6,8 therefore, v→=-6i+8j as we know…

Q: nd the angle (to the nearest tenth of a degree) between the vectors  u = and v=

A: Angle between vectors u and v is θ = arc cosu.vuv

Q: Find the unit vector in the direction of v = (3, 5).

A: It is given that, v→=(3,5)   It is known that a vector R→=ai^+bj^ can be written as, R→=(a,b). As we…

Q: Find the measure of the angle between the two vectors. (-4, 5) (-6,3) ►

A: Consider the graph

Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal,…

A: Given vectors are- A→=3,-2 and B→=2,4 To find the unit vector A^, B^ and dot product A.B Unit vector…

Q: Find the angle θ between the vectors.p(x) = 1 + x2, q(x) = x − x2, ⟨ p, q⟩ = a0b0 + 2a1b1 + a2b2

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Q: Find the angle θ between the two vectors.u = (10, −5, 15), v = (−2, 1, −3)

A: The given vectors are To find the angle between the given vectors, use the formula

Q: (a) Calculate the dot product and angle between two vectors, where u 7j– 2k and v = (1,2,3).

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Q: Compute the dot product of the vectors u and v, and find the angle between the vectors. u= (-11,0,5)…

A: To find the dot product and angle between the two vectors u and v.

Q: Find the angle between the vectors U= and V=

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

Q: Find the angle a between the vectors 日- 2 and a =

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Q: Find the measure of the angle between the two vectors. 7) u =(-7,-8) v=(-1, 0) 8) u = (-9, 6) v =…

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Q: In each part, find the dot product of the vectors and the cosine of the angle between them. (a) u =…

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Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product…

A: As we know that; The expression for the angle between the two vectors is: θ=cos-1u→·v→u→v→   The…

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: Find the angle between the vectors (2v3, 1), b = (-7, v3). а — 1. angle 6 2. angle 3 ||

A: Solve for angle