Suppose u = (5, -4, 4). Then (2, 5, 4) makes ? with u (-8,0, 10) makes ? v with u (1,5, –5) makes ? with ū (1, –1,2) makes ? v with u

Q: Express the following as linear combinations of u= (2, 1, 4), v= (1, -1, 3), and w= (3, 2, 5). (a)…

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Q: Find projvu.u = (−1, 3, 1), v = (4, 0, 5)

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Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

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Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: Let u = (-1,3)and v = (1, -1), then proj,yu is:

A: Given, u=(-1, 3), and v=(1, -1),   then, projvu =

Q: Find u · (v x w). (4, 4, 4) (4, 6, 0) w = (0, 0, 9) u = V =

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Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

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Q: Express the following as a linear combination of u = (2, 1, 3), v = (1, -1, 4) and w = (3, 2, 6).…

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Q: Consider the following. u 3 (-4, =(-4, 6), v = (1, 1) (a) Calculate projy u.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Assume that U= { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, A = { 2, 5, 7, 8 } and B = { 1, 4, 5, 7 }. Find…

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Q: Let u = (-1,3)and v = (1, –1), then proj,u is: O (1,1) O (2,2) O (-1,1) O (-2,2)

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Q: S Dite Y as b, and Va, îf possi ble. (if not ponible, enter ImporsiBce) V= (9, -24,-13,-14), H,=…

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Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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Q: Express the following as a linear combination of u =(3, 1, 7), v = (1, -1, 4) and w= (18, 7, 8).…

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (4, 0, −3, 5), v = (0, 2, 5, 4)

A: Given a vectors,

Q: With U={1,2,3,.,9,10} and A={1,2,3,4,5), B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine Au(BnC)…

A: Solution.

Q: i. Find proj,u and projų v u = (2, –2), v = (3,1)

A: Given,  u=(2,-2) ,  v=(3,1)    We have to find vector projection of v on u

Q: Express the following as a linear combination of u= (3, 1, 7), v = (1, -1, 7) and w = (6, 3, 6).…

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Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

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Q: Express the following as a linear combination of u = (3, 1, 5), v = (1, -1, 4) and w (5, 7, 6). (14,…

A: Answer

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: 10. Find the generalized Hukuhara difference u OgH v, where u = v = (1,3, 5). Does their Hukuhara…

A: Given -  u = (1, 2, 3)  v = (1, 3, 5) Generalized Hukuhara difference (gH difference) will be -

Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: 8. Express the following as linear combinations of u = (2, 1, 4), v= (1,–1, 3), and w= (3, 2, 5).…

A: The given vectors are:u=2, 1, 4, v=1, -1, 3, w=3, 2, 5

Q: If v = (3, – 1, 1) and w = (-2, –2, –2) , what is v x w ?

A: Here two vectors v and w are given, we want to find the cross product or vector product of the given…

Q: 9. Using the fact that ||u|| = 2, ||v|| = 3, and u x v = (-1,5, 1), find u · v.

A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 6) and w = (1, 6, 7).…

A: The objective is to find (7, 10,7) as linear combination of u, v, w.

Q: Find projvu.u = (2, 3), v = (0, 4)

A: Given: Let the vector u and vector v be: Formula used:

Q: Verify that ||v-w||^2=1 when ||v||=2, ||w||=1, and v*w=2

A: By the definition of inner product and norm we can derive the following formula : ‖u-v‖2=⟨u-v,u-v⟩…

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: Find projvu.u = (2, 5), v = (0, 5)

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Q: let u=(3,4), v=(2,-3) and w=(2,-2)  find (u*v)w

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Q: The distance between u = (15, 7, 4, 6) and v = (3, 2, 1, 4) is 82 182 V182 O 48

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Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

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Q: Compute Juxv if |u| = 6 and |v| = 7 and the angle between u and v is x.

A: We have, u = 6 v = 7 Angle between the vectors u and v is θ = π To evaluate: The value of u×v

Q: Let u 7 and w compute -5 u + 9 v -4 w. %3D -5 u + 9 v -4 w Ouestion Help: M Message instructor O…

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (0, 4, 3, 4, 4), v = (6, 8, −3, 3, −5)

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Q: Express the following as a linear combination of u= (4, 1, 6), v = (1, -1, 5) and w = (1,3,7). (10,…

A: We need to express as linear vector.

Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: Find projvu.u = (2, −1), v = (7, 6)

A: Now dot product is,

Q: Find u + v u = and v =

A: Find u + v u = <6, 1> and v = <1, 7>

Q: Let u = (1, 2, 3), v = (2, 2, –1), and w = (4, 3, -4). Find z, where 2u + v – w + 3z = 0. Z =

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Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 3, –4). Find z, where 2u + v – w + 3z = 0. Z =

A: u=1,2,3v=2,2,-1w=4,3,-42u+v-w+3z=0

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

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Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=

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Q: Express the following as linear combinations of u = (2, 1, 4), v = (1, – 1, 3), and w= (3, 2, 5). 8.…

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Q: 8. Express the following as linear combinations of u= (2, 1, 4), v= (1,–1, 3), and w (3, 2, 5). (a)…

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…