i. Find proj,u and projų v u = (2, –2), v = (3,1)

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

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Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Is (2,1)=(1,2)?

A: The objective is to determine whether 2,1=1,2.

Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

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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: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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

A: Given :-  u=<3,-4,-10>  v=<-7,-2,0>  To find:-  2u+2v

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: Find u v, 2(u + 3v), and 2v- u. - u = (6, -5, 8, 3), (a) u-v= (b) 2(u +3v) = (c) 2v - u = v = (-2, 5…

A: The solution is shown below-

Q: Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x +…

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Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

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Q: Let u=(2,6,-7), v=(-1,-1,8), and 3. If (2, 14, 11)=ku+lv what is the value of l?

A: i AM GOING TO SOLVE THE GIVEN PROBLEM BY USING SOME SIMPLE ALGEBRA TO GET THE REQIURED RESULT.

Q: Find u•v, V•V, ||u||^2, (u•v)v, and u. (5v). u=(2,0,-3,4), v=(0,5,4,5)

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Q: Find the missing values under each condition - A) (-3,-1), (x,7), d=10 B) (2,4) (7,y), d=13 C)…

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Q: Find the midpoint between (8, 17) and (24, 31)

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Q: Let ū = (-5, 1, -3). Then u

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