[2/3 1/3 2/3 -2/3 2/3 1/3 4 Let y = uj u2 = and W = Span {u,, u2}. a. Let U = [u uz]. Compute UTU and UUT. b. Compute projw y and (UU")y. .

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Q: ||ī|| = Find the length of the vector = 2 -2 Enter `sqrt(a)' for √Va

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Q: 1 -2 4 17. Let a 4 a2 -3 and b : For what 7 value(s) of h is b in the plane spanned by aj and a2?

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Q: 1. Letz =1+i,1,=-1+i, locate the numbers z+ z, and , vectorially in the rectangular coordinate…

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Q: Evaluate ▼ (x² y + x y z²) ·dr where C is the line segment from ( 1, – 1,0) to (2,1,3 Select one: a.…

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Q: Evaluate v (x? v + x y z²) · dr where C is the line segment from (1, – 1,0) to (2,1,3) | Select one:…

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Q: Which of the following is the least distance from the point (2, –1,1) to the plane x + y – z = 2?

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Q: 7. Let u = (2,1, −1) and v = (√√2, 1, 1). Find the decomposition of u into vectors that are parallel…

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Q: Show that if v and w lie in the yz-plane, then v × w is a multipleof i.

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Q: 3. Find the to Ihe bae coordinate vector of V relative (l,l, i), ( !!,0), when V= (a,b,c) こ

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Q: Quolel X= -gi +sj -K, Y. i-2 k yo i-2 K Find X x Y

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A: to Show that the  given vector is perpendicular to the  given line

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Q: Q3 O Let w-l(a,b,c), b= 3a} is Sub Sehoof RE a Sub Spaceef R32 is s w X, = i +2j - K , Xz= -3i+2j-R…

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Q: 4. Write y as the sum of two orthogonal vectors, y, in L and y₁ in L Let y = YL = 1 and u = 2 7 Let…

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