Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

Q: Find (a) ∣A∣, (b) ∣B∣, (c) A + B, and (d) ∣A + B∣. Then verify that ∣A∣ + ∣B∣ ≠ ∣A + B∣.

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: Find (a) u x v, (b) v x u, and (c) v x v.

A:

Q: u = (2, 11), v = (-5, 2) (a) u. v (b) u.u (c) ||v||2 (d) (u - v)v (e) u (3v)

A: Given that u=(2,11) and v=(-5,2) Find  a)u.v b)u.u c)||v||2 d)(u.v)v e)u.(3v)

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

A:

Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

A:

Q: V(A - B) = A x (V x B) + B x (V x A) + (A - V)B + (B V)A,

A:

Q: proof (B∩C)×A = (B×A)∩(C×A)

A:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: (a) z = -V3+ i (b) z = (-1 - iv3)2 (c) z = 2 1+iv3 (d) z = (e) z = (1+iv3)(1+ i) %3D

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Find u · v, u· u, v||2, (u · v)v, and u · (3v). u = (4, 11), v = (-2, 3) (a) u. v 25 (b) u.u 137 (c)…

A:

Q: Find ux v, v x u, and v x v.

A:

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: 5V5 5V3+ V5

A:

Q: B=i-3)-k , A= 31-j+k ti-B+č=0 (C) asiall asaa

A:

Q: Find u x v, v x u, and v x v. u = (3, -8, -3) (6, -6, -7) V = (a) u x v (b) v x u (c) v x v

A:

Q: Assume that u v = 8, ||u|| = 6, and ||v|| Calculate the value of (3u + v) (u - 5v). (Give your…

A: u·v=8u=6, v=10

Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (−7, 0, 0, 0, 9), v = (2, −3, −2, 3, 3)

A: a). b).

Q: 3y-6(y+z)+y

A: Distribute -6.

Q: Find u + v, 2v, u- v, and 3u - 2v. u = (1, -4, 2, 1), v = (0, 2, 2, 3) (a) u + v = (1, – 2,4,4) (b)…

A:

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

A:

Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

A:

Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

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: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

A:

Q: L{t(u0 – u1) + t²u1}.

A:

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: Find u x v, v x u, and v x v.

A:

Q: dv (и? + 1) + 4uv Зи. du

A:

Q: d² Vx7 b) Evaluate dx2 x=9

A:

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: 42 x2 dx =. V(73 + 14) 42 / (x3 + 14)+ C V 28 V (x3 + 14) + C 14 (x3 + 14) + C 84 / (x3 + 14) + C

A: From the basic integration

Q: If u(x) = 4x² — 7 and v(x) = x³ – 9, find u(x) · v(x). . u(x) · v(x) =

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.