7. Let u = (-4, 2, 3), v = (5,0, –7), and w (7,-2, –5). Find the components of (a) -u + (v – 3w) (b) (4v – w) – (4u + v)

Q: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

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

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A:

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

A:

Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

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)…

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A: We need to find cross product.

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

A:

Q: Given the universal set U = {x|xel, -10 <x<10 } A = {-2, -1, 0, 1, 2, 3 } B = { 2, 3, 4, 5, 6, 7} C=…

A:

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A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

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A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

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A: z = x +i*y |z| = √(x2 + y2)

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A: Given x82x-1y67y=2x-3z55w+16y+5.

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

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A: TOPIC:- VECTOR ALGEBRA

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

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

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: Given u x = (-2,- 1, 1), find (u - 30) x (u + 2v)

A:

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

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A: Simplification of the function helps to find the vector u. Component-wise operations help to get…

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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: Given u = 21+j-6k and v = i-4j+ 3k, find (u•v)v. O (u•v)v =-20i+ 80j–60k O (u•v)v=-40i–20j + 120k O…

A:

Q: Given u x = (-3, -4,-2), find (u-37) x (u + 4v).

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

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A: Given : G and MID POINT M IS GIVEN  G(-4,1) AND M (-13/2, -6) FIND : SECOND END POINT H

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A: