Compute the dot product of the vectors u and v, and find the angle between the vectors. 1= (- 10,0,6) and v = (1,3,5). u = u•v= (Type an integer or a simplified fraction.)

Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: Find the angle a between the vectors  [ -5 ]    And    [ -2 ] [ 5 ]                 [ 3 ]

A: To find the angle between the vectors

Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

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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: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: Find the angle (in radians) between the 2 vectors U(-3, 4, -4) and V(1, 2, 2)

A: Given vectors are,               U(-3, 4,-4 ) and V(1, 2, 2 )

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: Find the angle θ between the vectors.u = (−4, 3), v = (0, 5), ⟨u, v⟩ = 3u1v1 + u2v2

A: Now,

Q: Find the measure of the angle between the two vectors. 5) u= (4, 9) v =(-6, -8) 6) u= (8, 5) v =…

A: To find - angle between u and v Use of - cosine formula of finding angle between vectors

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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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 the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: The unit vectors normal to the vectors (2, - 8,11) and (- 3,0,5) are

A: Find unit vector

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: Find the distance between the two vectors. u = (24, 14, 19), v = (-4,4,7) Select one: O A. 50 OB.…

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Q: dot product

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Q: Find the angle θ between the vectors.u = (1, 1, 1), v = (2, 1, −1)

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

Q: Find the angle θ between the two vectors.u = (0, 4, 0, −1), v = (1, 1, 3, −3)

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Q: For the vectors u= ,0,2) and v= ,- 3), calculate projyu and scal, u. projy u = O DD

A: Given ,the vectors u=-4,0,2  and   v=1,3,-3

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: find the given vector. Unit vector in the direction opposite to v = (−4, 4, 2)

A: Given, v=-4, 4, 2

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: Find the angle θ between the vectors.u = (1, −1, 0, 1), v = (−1, 2, −1, 0)

A: The given vectors are, u = (1, −1, 0, 1), v = (−1, 2, −1, 0)

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: Find the cross products u×v and v×u for the vectors u=2,3,−7 and v=1,−1,1.

A: vector or cross product

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: Let u = (a1, a2) and v = (b1, b2) be nonzero vectors in the plane, and let 0 be the angle between…

A: Answer is- The dot product of u•v=a1b1+a2b2 Because the given vector u is (a1(i),a2(j)) And vector v…

Q: A triangle in R3 has two sides represented by the vectors = (2, 3, –1) and OR = (1, 4, 1). Determine…

A: Topic:- vector algebra

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v - u) -…

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Q: Find the angle between the given vectors to the nearest tenth of a degree.u = <2, -4>, v =…

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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: For the vectors u = (- 3,5) and v = (- 5,2), calculate proj,u and scal,u.

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Q: Find the angle between the vectors u (2, –1) and v = (1, 1).

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: Find the angle between vectors v = (1,2,3) and w = (2 -1, 4)

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Q: 2. (a) Compute ||(1,2, 3)||- (b) Find the angle between the vectors (1, v3) and (1,0).

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Q: Find the measure of the angle between the two vectors. 24) u-(9,9) v-(-8,-5) V =

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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 (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 between the vectors u and v if u (2,3,5) and v = : (1,–4,3) in (Ctrl) ►

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Q: Find the vector in v that has magnitude 8 and is in the opposite direction of (-3, –5, 1). v = help…

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Q: b. Find the angle between the vectors u = (18, –1, –7) and v = (-37,35, 2)

A: u = (18, -1, -7),  ∥ u ∥ = √[(18)2+(-1)2+(-7)2] = √374 v = (-37, 35, 2), ∥ v ∥ =…

Q: Let the vectors (2,3) and (-6,4) be    Your point product is: ? The angle between the vectors is:…

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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: Determine whether the given vectors are perpendicular. u = (-3, 7), v = (2, 3) %3= CYes No

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