The vectors u and v have the same direction. a. Find |ul. b. Find ||v. c. Is u =v? Explain. ..... a. u = (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Given the two vectors A = -9i- 2j -7k and B = -3i- 4j +8k, Find th (e) Ax B (f) the angle between…

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Q: For the given vectors: å = (-2,-3), = (1,-2), č = (2,3), find: (a) 3ã – 5 + 2č (b) angle between the…

A: Vector: A quantity that has magnitude, as well as direction, is called a vector. The magnitude of a…

Q: Given the vectors v = 2i + 3j - k and w = 4i – 2j + 3k. Find the angle between v and w O A. 61.56°…

A: Formula: Angle between two vectors a and b is θ θ=cos-1a⏞.b⏞ab

Q: Find the magnitude and direction angle (to the nearest tenth) for the vector. Give the measure of…

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Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

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Q: Write the vector v in the form ai+bj​, given its magnitude v and the angle α it makes with the…

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Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: Find the angles between given vectors. (a) ā = 3i + 4j and b= 5i – 4j (b) a = 3i +4j - 5k and 5= 6i…

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Q: ind a unit vector that has the same direction as the vector –3ỉ + 7j.

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Q: Let a=⟨−3,2⟩ and b=⟨2,−5⟩Find the angle between the vector, in degrees.

A: Let the angle between a and b is theta So,  We find a.b and |a| and |b| first

Q: Given u = and v = find the angle between the vectors and и V

A: Given vector u→=<4,-1> and v→=<3,5> Formula to be used u→.v→=u→v→·cosθ

Q: 7) Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: if theta is the angle between the two vectors, v, and w, find the measure of angle theta in degrees,…

A: Use given vectors find angle between them

Q: . The vectors u, v, and w are represented in the standard (xx) coordinate plane below. 10 In what…

A: We need to find the general direction of vector u-v+w

Q: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: What is the angle between the vectors u = and v = ? 213° O 188° O 111° 120°

A: Solution:

Q: Find the unit vector that has the same direction as v = 24i - 7j The unit vector that has the same…

A: Here we have to find the unit vector that is the same direction as the vector v. Given :- v=24i-7j

Q: given the vectors u=-i-5j and w=-3i+2j, find -4u and u-w. write your answers in the form ai+bj

A: Let u→=u1i∧+u2 j∧+u3 k∧ and v→ = v1 i∧+v2 j∧+ v3 k∧be two vectors , then the sum of  u→  and v→  is…

Q: Use the Law of Cosines to find the angle a between the vectors. (Assume 0° < a < 180°.) v = 2i + 2j,…

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Q: Suppose u = (-1.8,-2.1) and v = . Find the angle between the two (position) vectors u and v. Provide…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

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Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: For the given vectors: å = (0,3), b = (4, –2), ở = (3,2), find: (a) 3å – 6+ 2č (b) angle between the…

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Q: Given vectors A= 8i - 6k and B= 8i+2j+6k a) Cosine of the angle between A and B___________

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Q: If the two vectors are in the following figure, find the angle (1) between them A=i+j-k B=2i-2j+2k

A: Given

Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: Let →a=⟨−4,−5,−2⟩and →b=⟨1,−1,5⟩ In Radians, find the angle between the vectors

A: Angle between vectors

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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Q: Given the vectors u= 6i-2j and v=-i+9j, find 3u and u+v. Write your answers in the form ai+bj. 3u =…

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Q: Show

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Q: ind the direction angle of v for the following vector.   v=−7√3i+7j What is the direction angle of…

A: To find the direction angles

Q: Which of the following is the angle between the vectors u = and V= ? O a 118.734° Ob139.847° OC…

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Q: Given three vectors A(6, 2, -3), B(-2, 3, 0), and C(-4, 6, 5). Find the unit vector bisecting the…

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Q: Let →a=⟨−2,−1⟩ and b→=⟨0,-5⟩. Find the angle between the vector, in degrees.

A: We can find the angle between the vectors as below.

Q: Given the vectors i = 10i – 5j and i = 9i + j, perform the operations below. 8- i- 5- = Calculator…

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Q: Given vector A(5, 2, 2), B(1, 5, 6) and (6, 3, 1) as the plane triangle. Find the unit vector that…

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Q: Use the Law of Cosines to find the angle a between the vectors. (Assume 0° < a s 180°.) v = 4i + 4j,…

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Q: Given that the angle between the nonzero vectors đ = (u,,u2,u3), b = (u3.U2, -u,) is find the…

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Q: Find the angle between the two vectors v, = and v2 = give the answer in degrees, rounded to one…

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Q: Given the vectors v=7i-5j and w=−i+3j, find −9v and v-w. Write your answers in the form ai+bj.

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Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p q b) the angle between p and a

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: For the given vectors: å = (1,2),b = (-4,3) find: (a) 3å – 45 (b) à -5 (c) Angle between the vectors

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Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: (2) The two vectors u and v are shown. (o) |v= 3 45° Ju|=2 (a) Find u v (b) Find v· u (c) Is u x v…

A: To find u. v,  v. u and( u x v).

Q: Let a = (4, 1) and b (4, – 1). %D | Find the angle between the vector, in degrees.

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Q: For the given vectors: a = (-2, 3), b = (1,–2), č = (2,2), find: (a) 2a – 35 + č (b) angle between…

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