V•u 7 4 and v = 3 Compute u • u, v•u, and using the vectors u = u•u 6

Q: Consider the two vectors -4 u = 6 and v = -5 Calculate u · v and u x v and enter these in the box…

A: topic- vectors

Q: Let u and v be two vectors such that lul=10, Iv=14, comp,u=4, and projuv= (1,1,1). If u =k (1,1,1),…

A: This question is related to vectors, we will solve it using given information.

Q: Find 2u, -3v, u + v, and 3u – 4v for the given vectors u and v. u = (6, 2), v = (4, 7) 2u = -3v = u…

A: In this question its given that the value of u=(6,2) and  v=(4,7) Therefore u and v can be written…

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

A: Solution

Q: Find the Euclidean inner product of the given vectors. 3 4 u = v = (u, v) = Ex: 5

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Q: Let u = -5i-6j and v = 2i-4j. Decompose u into two vectors u, and u,, where u, is parallel to v and…

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Q: determine the x values for which the vectors of x i + 3j +4 k and 3 i +2j + 2 k are perpendicula

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Q: 4. Let u=[1,2,3] and v= [-2,–1,3]. Compute the following: a) u· v b) 0 the angle between the vectors…

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: 5. u = Write the linear combination of standard vectors i and j.

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Q: The norm of the vector v = (-4, 4, -5, -3) is O y66 O 30 O y6I 66 O 61 O y30 O7 O None of the other…

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Q: find the components of the vector −→P Q. P = (1, 0, 1), Q = (2, 1, 0)

A: Given  P=<1,0,1>Q=<2,1,0> The component form of a vector is the ordered pair that…

Q: Use the given vectors to compute u + v, u-v, and 3u - 4v. u = (3, -7), v= (5, 9) u + v = u - v = 3u…

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Q: Determine whether the given vectors are orthogonal, parallel, or neither. (a) u = (-6, 3, 9), v =…

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Q: . a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (-1,2,3) Calculate u + v-w (i)…

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Q: (d) Let w =(-39,22), v’i=(2–5), v°2=(5,-4), v°3=(-4,-1). If possible, express w as a linear…

A: In this question we need to multiply vectors by constant and have to find values of constant

Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. = (-8, 9), v= (8, -2) u = 2u = -3v = u…

A: Given u = {-8, 9} and v = {8, -2}

Q: Consider the vectors V1, V2, V3 and b. 1 2 8 -2 V1 ,V3 -13 6. 12 18 Write b as a linear combination…

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Q: Determine whether the following vectors are orthogonal, parallel or neither. a) u = 5i – 2j + 3k and…

A: Here we have to determine the given vectors are orthogonal, Parallel, and neither. We have, a)…

Q: Find the best approximation to z by vectors of the form c, v, + C2V2 4 -7 1 1 V2 = 2 z= 3 [-1] 4 1…

A: To find  The best approximation to Z by the vectors of the form c1v1+c2v2.

Q: Let u = , v = , and w = be three vectors in space. Compute: (i) u − 2v + 3w = (ii) ||u|| = (iii)…

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Q: (a) Consider two vectors u = 3 and v = 5 in R4, Show that 5 7 7 i) u.v = v.u ii) d(u, v) > 0 [-31

A: Two vectors u and v is given in R4, and the vector is given as:

Q: Determine whether the given vectors are orthogonal, parallel, or neither. 1.…

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Q: Let u and v be vectors in R. If u=(-6,-1,-6) and V=(-5,7,5). The projection of the vector V onto the…

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Q: 9. Find the vector triple product of vectors u, v and w. =(2,-1,3), v=(0,1,7), w=(1,4,5) (a) ux(vxw)…

A: The solution of the problem is given in the next steps.

Q: Find the length of the vector of V=5k V = 3/5 i + 4/5 k

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Q: Use a computer algebra system to find u x v and a unit vector orthogonal to u and v. u = 7.1k v =…

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Q: Which two vectors are orthogonal if given a =,b = and c =

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Q: The norm v of the vector v = (-5, -1, 5, -4, 0) is O 67 V14 O 14 O 7 O V67 O 42 O 42

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Q: Find the angle between the given vectors:  a) u=(3,4), v=(5,-12); = x1y1 +x2y2 b) u(1,1,1),…

A: Sol:- a) u=(3,4), v=(5,-12); <u,v> = x1y1 +x2y2 i.e a)  u=(3,4,0), v=(5,-12,0); <u,v> =…

Q: Verify the Pythagorean Theorem for the vectors u and v. u = (-1, 3, –4), v = (4, 0, –1) STEP 1:…

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Q: a- Show that if v is any nonzero vector then is a unite vector . |||| b- If u = (3,4) , v= (3 ,-1)…

A: First assuming v in vector notation.

Q: - 4 and v = 3 v•u 5 Compute u • u, v•u, and using the vectors u = 7 n.n

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Q: 5v. Use the given vectors to compute u + v, u- v, and 2u - u = (5, -7), v= (3, 9) u + v = u - v = 2u…

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: 1. Let u and v be vectors in R". Suppose ||u||2 = 2, ||v||² = 1, and u·v = 1. Compute

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Q: Two vectors u and v are given. u =    1, −1, −1   ,   v =    −1, −1, −1

A: We will find a vector which is orthogonal to both u & v. Then we will normalize it to find a…

Q: 2 2. u = 1 Ug = u4 -2 Write v as the sum of two vectors, one in v = -3 3 Span {u; } and the other in…

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Q: Let u = (1- i, i, 2),v = (i,–1,1+i) and w = (1 + i, 4,3i) be vectors in C³. Then iu.w – ||v||(V.u) =…

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Q: Determine if the vector v is a linear combination of the remaining vectors.

A: The given vectors are, v=321,u1=110,u2=011

Q: For the vectors u (1,0, 1) and v (0, 2, 1), u x v = %3D O A. (1, 2, 0) O B. (1, 2, -2) OC. (2, 1, 2)…

A: Given. The vectors u = 1, 0, 1 v = 0, 2, 1 We have to find u×v

Q: (a) Let u, v and w be nonzero vectors in R³. If u and v are each orthogonal to w, then 2u3v is…

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Q: 1. Perform the stated operations on the vectors u, v and w. u = 3i – k, v=i-j+2k, w = 3j (а) w- v…

A: Using addition & subtraction of vectors. Adding & subtracting same component's.

Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩.      z = u − v + w

A: Given:                                                          u = <1, 2,…

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u = (-4, 3), (6,-3) %3D 2u %3D -3v =…

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Q: Use the given vectors to compute u + v, u- v, and 3u - 5v. u = (2, -6), v = (4, 5) u + v = u - v =…

A: We will use the usual inner product for the compute the required vectors

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 3 6 1 V2 = 1 V1 = - 2 4 3 - 2…

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Q: For the vectors u = (2, 1, 0) and v = (3, 1, 0), evaluate the following expressions. a. 2u + 3v b.…

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Q: Use the given vectors to compute u + v, u – v, and 2u u = (4, -3), v = (7, 9) u + v = u - v = 2u -…

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Q: Working with vectors Let u = 83, -49 and v = 8 -1, 29 . Evaluate each of the following. u + 2v

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