Vectors u and v are given. Calculate the dot product u · v. u = (8, 4, -1), v = (-1, 4, 8) U:V =

Q: Find the component form of the indicated vector. Let u = (3, 1), V =(4,-5). Find 2u + 3v. (14-8)…

A: The objective is to find 2u+3v.

Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v…

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Q: Given u = 6i – 7j. Find the unit vector in the direction of u -7 6. None of these V85 85 /85 6 -7 6…

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Q: Find the cross product x . Is the resulting vector perpendicular to the given vectors? O ; yes O ;…

A: Vectors < -1, -3, -8 > and < 7, 4, -5> . To find cross product.

Q: QI. (a) For the vectorsu =(-3, 1, 2), v= (4, 0, -8) and w=(6, –1, - 4), calculate ( 2u – 7w)-(8v +…

A: The scalar product is also called dot product, due to the way it is denoted to distinguish from…

Q: Find the direction cosines of the vector v = (2, –4, 4) %3D

A: The given vector v→=2,-4,4

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v…

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Q: Sketch the vector indicated. (The vectors u and v are shown in the figure.) u-v 4 10 4

A: Given that: Two vectors u and v.

Q: use the dot product to determine if v and w are orthogonal. If the vectors are not orthogonal, find…

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Q: Use the given vectors to find v• w and v•v. v= - 8i - 3j, w= - 9i – 7j v•w = (Simplify your answer.)

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Q: Two vectors u and v are given. Find their dot product u v. u = 6i – 6j – 5k, v = I

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Q: Cross products from the definition Sketch the following vectors u and v. Then compute |u × v| and…

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Q: Consider the vectors v = 6i + 3j and w = 2i - 5j. Blank 1: Find the dot product of v and w. Blank 2:…

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Q: The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O…

A: We a given a vector u=(2,3) We are asked to find out unit vector in direction of  vector u=(2,3)

Q: A) Find the angle between the vectors u = 21 +j+9k, v = 61-12j and %3D sketch the vectors and the…

A: Given,u=2i+j+9kv=6i-12jWe know that cosθ=|u.v|u||v||u.v=(2i+j+9k)(6i-12j)u.v=12-12u.v=0Therefore…

Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: 2. Using the definition of a dot product, find the angle between the vectors A = 3i + 2j – 6k and B…

A: Using definition of dot product.

Q: Find vector v with the given magnitude and in the same direction as vector u. |V| = 7, u = (3, 4) V…

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Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: Two vectors u and v are given. Find their dot product u · v. u = (2, 4, 0), v = ( -1, 12)

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Q: Let u and v be two orthogonal unit vectors in R. We have a triangle ABC in R' such that AB = 2u –…

A: Given u and v are unit perpendicular vector.

Q: A) Find the angle between the vectors u 21+j+ 9k,v 61-12j and %3D sketch the vectors and the angle…

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Q: Use the given vectors u and v to find the magnitudes of vectors u - v and -2u. u =4i+6j+7k, v = -i…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: Fill in the blank/s : If v = a1i + b1j and w = a2i + b2 j are vectors, the product v . w, called the…

A: Given that: The vectors v = a1 i + b1 j  and w = a2 i + b2 j.

Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

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Q: Let v = -5i + 2j and w = 2i - 4j.Find the specified vector , scalar, or angle v . w

A: It is given that v = -5i + 2j and w = 2i - 4j.

Q: Find ||v|| and find a unit vector in the direction of v.v = (5, 3, −2)

A: Now magnitude of vector v is,

Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: Vectors u and v are given. Calculate the dot product u · v. u = (8, 0), v - (7, 7) u.V =

A: Given: u=8,0  v=⟨7,7⟩

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

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Q: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction || v|| =…

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Q: Let v = (-1, -5, 3). %3D Find a unit vector in the same direction as v.

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Q: Find the angle between the vectors v and w.   v=i+2j​, w=3i +6j

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Q: Find the dot product v• w; (b) find the angle between v and w; (c) state whether the vectors are…

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Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

Q: The vectors A and B are given by A = 2î + 3j and B = - î + 2j. (A) Determine the scalar product A ·…

A: Given vectors areA→=2i∧+3j∧ and B→=-i∧+2j∧We have to finda  the scalar product A→.B→bangle θ…

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

A: We need to evaluate the following cross product -2k×5j

Q: find the component form of the vector. The vector OP where O is the origin and P is the midpoint of…

A: Given points are R = (2, -1) and S = (-4, 3).First find midpoint P by using midpoint formula as…

Q: Find the magnitude and direction angle of the vector. u = -5i + 3j

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Q: Find the angle <ABC given the points A = (0,2,2) B=(-1,0,1) and C= (0,-1,2) Hint:- Find the…

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Q: find the following : a) dot  product  v times w, b) find the angle between v and w  c) state…

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Q: he vector shown below as a combination of vectors u and i show

A: We have to write a vector which is linear combination of vectors u and v according to the given…

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

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Q: Use the dot product to find the angle between the position vectors A and B

A: Given:

Q: Find ||v|| and find a unit vector in the direction of v.v = (−1, −4, 1)

A: To find: The value of v and unit vector in the direction of v=-1,-4,1. Formula used: A unit vector…

Q: 6. Find the dot product of the vectors and the cosine of the angle between them. (a) u=i+2j, v = 6i…

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Q: Find the cosine of the angle between the vectors v = 3i - 4j + 7k and w = 2i - j - 3k. 121 O A. -…

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