(u + 3v), and 2v – u. (5, 0, –2, 9), v = (0, 6, u - v = 2(u + 3v) =

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

A:

Q: Write v as a linear combination of u, u, and ug if possible. (Enter your answer in terms of u,, u,,…

A: Given:  v = (-1,7,2) u1 = (1,3,5) and u2 = (2,-1,3)  and u3 = (-1,3,1) we need to find v as a linear…

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

A:

Q: Find u and v if u + v = (2,−3) and 3u + 2v = (−1, 2).

A:

Q: The components of U where U = are.. А-2B, А-D 3і-ј ,В-7і+2j-k

A: A = 3i - j B = 7i+2j-k

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

A:

Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

A:

Q: Let u = (5, - 3), v = (-2,9), and w = (0,- 2). Express 7u-3v+w in the form (a,b). %3D 7u -3v + w =…

A:

Q: Find u · v, u· u, ||v||, (u· v)v, and u (3v). u = (2, 11), v = (-5, 2) %3D

A: Given u=2, 11, v=-5, 2

Q: Let u= (3,-5). v = (-3,6), and w (0.- 6). Express 8u- 2v + w in the form (ab) %3D 8u- 2v + w= D…

A: Let u=3,-5, v=-3,6, and w=0,-6. Express 8u-2v+w in the form of a,b.

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: Find Jul, \vl, [2ul, , lu + v[, Ju – v\, and Jul - 2 (2, –10), v = (-4, –4) Ju| %3D |2u| %3D Ju + v|…

A:

Q: 2. Find u, 3v, v-u, and 2u +5v. 3. u = (5, 3), v = (3, -2) %3D

A:

Q: Let V = xi+ 2yi + Ozk, then [v-V =

A: ∇ is an operator and ∇=∂∂xi+∂∂yj+∂∂zk

Q: 1. Find Ju|, u + V, u – v, 2u, and 3u – 2v. - (a) u = (-2,3), v = (8,1) (b) u = 5i - 2j, v = -3i

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Find u-v, 2(u+3v), and (2v-u). u=(7,0,-6,9), v=(0,2,9,7)

A:

Q: Find u x v, v x u, and v x v. 3D(-7, 1, 2) 3(4,7, -6) u = (a) u x v (b) (c) V X V

A: Solve

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: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (1, −2, −3), v = (3, 1, 0)

A:

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

A:

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: Find u · v, v· v, ||u||2, (u · v)v, and u · (5v). u = (-3, 4), v = (3, 2) (a) u. v (b) v. v (c) (d)…

A:

Q: Given u x i = (4, 2, 0), find (u – 5v) x (u + 40).

A: Given,          u→×v→=<4,2,0>; then the value of  u→-5v→× u→+4v→

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

A:

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

A:

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: Given :u=(1,2,3)v=(2,2,-1)w=(4,3,-4)

Q: * vxu àu = (1,3,-3), v = (4,0,2) ......

A: Let's find.

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

A:

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

Q: let R = (-2, 7). Calculate the following: The components of u = PŔ, where P = (1, 2)

A: Given,               R=(-2, 7)   and   P= (1, 2).    The components  of u=PR⇀=?

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

A:

Q: Compute u + v, u – v, 2u, and 3u – 2v if (а) и %—D 5 (b) и %—D V = 3 (c) ) u = 6.

A: (a) Given- u=23,v=-25 To find- The value of u+v,u-v,2u and 3u-2v.

Q: Find u - v, 2(u + 3v), and 2v - u. = (4, 0, -3, 5), v = (0, 7, 5, 4) (a) u - v = (b) 2(u + 3v) = (c)…

A: We will find the sum of vectors.

Q: Express the following as a linear combination of u = (3, 1, 6), v = (1, -1, 8) and w = (5, 5, 7).…

A: Let's find.

Q: Find A -B x C, (Ax В): (В х) if A%3 2а, — х, а, — 2а, В %3D 4а, + x,а, + 2а, and с 3 -âx + ây – x3â,…

A: see the attached image below

Q: Find u - v, 2(u + 3v), and 2v - u. и%3D (6, —8, 5, 3), v = (-2, - -1) (a) u - v = (b) 2(u + 3v) =…

A:

Q: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (−1, 2, 1), v = (0, 1, 1)

A: Given  u = (-1,2,1) , v = (0,1,1)Find   (a) u+v      (b) 2v      (c) u-v      (d) 3u-2v

Q: 3 + .2 J(u) 4u + '(u) =

A: Given J(u)=(3u+3u2)(4u+4u)

Q: Assume that u- v = 7, ||u|| = 3, and ||v|| = 3. What is the value of 5u- (9u – 7v)?

A: Given, u.v = 7  u = 3    and   v = 3   We have to find the value of 5u.(9u-7v)

Q: Find u · v, u · u,II u^2 II, (u · v)v, and u · (2v).

A: Find ————- u · v, u · u, II u^2 II, (u · v)v, and u · (2v). u = 7i + j − 4k,   v = i − 9j + 8k

Q: Find u - v, 2(u + 3v), and 2v - u. u = (2, 0, -8, 3), v = (0, 7, 3, 2) (a) u - v = (b) 2(u + 3v):…

A:

Q: . Find u. v, v. v, ||u||², (u v)v, and u (5v). =(2, 4) u= (3, -3), V =

A: Given vectors are u = 3, -3,  v = 2, 4

Q: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

A:

Q: Find u v, u u, v, (u v)v, and u (3v). u -(5, -2, 4). v-(0, 6, 4) (a) (b) () (d) (u-v)v (e) u (3v)

A: Solution: The objective is to find the required values

Q: Given v = and u = , find 6v - 6u

A: The vectors are given by v = 8,-2 u = 9,-2 To evaluate : The value of 6v-6u

Q: u" – 2v = 2, u+v = 5e2" +1, u(0) = 2, u' (0) = 2, v(0) = 1.

A:

Q: Determine whether R3 = span(u, v, w) if

A:

Q: Find (u - 3v) · (3u – v), given that u u = 9, u v = 6, and v . v = 8.

A:

Q: Find 3v, v-u, and 2u + 5v. u 3 (4, 6), v = (2, -7) 3D(2,

A: