Let u =< 8, 8, −8 >, 7 =< 8,0,8 > and = 16, 32, 0 >. Now, < 120, 128, 8> is a linear combination of u, v and w. That is, x = a₁ + a₂ + açw. Determine a₁, a2 and a3

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

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Q: Determine whether A(–2, 1), B(1, 7), and C(4,13) lie on a straight line and support your answe

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Q: If a = (2, -1, 8) and b (6, 2, 1), find the following. a xb bx a =

A: Given:- a = &lt;2, -1, 8&gt; b=&lt;6, 2,1&gt; To find:- a X b and b X a

Q: Find a relationship between x,y and z with reasons

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Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: The points (x, -5) and (2, y) are on the line containing the points (-14, 7) and (10, 1). What is…

A: equation of line containing two points (x1,x2) and (y1,y2) is y-y1=y2-y1x2-x1x-x1

Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:&lt;56,-23,-37&gt;Explanation:

Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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Q: GIven u = and v = determine -4u - v

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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: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

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)…

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Q: TRUE or FALSE: A\B = A when A and B are disjoint

A: Given statement ,A|B=A then A and B are disjoint

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Are the following  points collinear    -8,12  3,5 and  25,-9

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Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=&lt;3,-4,-10&gt;  v=&lt;-7,-2,0&gt;  To find:-  2u+2v

Q: 1 Express 3 5 3 5 7 = as a linear combination of - 1 + 2 3 4 2 H 1 and 3 4 LO

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Q: Is x and y independent?

A: Given ,the joint probability density function (pdf) of (X,Y) isf(x,y)= Marginal pdf of X is =…

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

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Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.