Given u = - i+j, v = 2i-6j, and w= -2j, find proju (v +w). proj (v + w) = (Type your answer in terms of i and j.)

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: If possible, write -1- 12x8r² as a linear combination of x -x², 2x + x² and 2x 1 + x². Otherwise,…

A: Let U={u1,u2,⋯,um} be m vectors of a vector space V. Let v∈V(F) then v can be expressed as linear…

Q: If AΦB = AB - B find -2Φ3 Select one: a. -3 b. 9 c. -9 d. none of the options

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Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: Find 3v - 2w if v = 31 - 7j and w = -5i + 7j. Write in component form. Write in terms of i and j.

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Q: az If b b2 b3 = -2, find C2 C3 a1 - a3 a2 bị - b3 b2 bz. C1 - c3 c2 C3

A: Given,  a1a2a3b1b2b3c1c2c3=-2

Q: y3vu+ 2u and u= x - 3

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Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the…

A: Initial amount of water, y intercept =8 inches Slope,m=3inches per day

Q: iven ux*² = (1,-4,0), find lữ LƯ JAC

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Q: (x– 3)² + (y+1)² = 2

A: Solve the equation

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

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Q: Find å · b for å = (-2, ) and b = (-5, 12).

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Q: Evaluate for the given

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Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: Write v as a linear combination of u₁, U2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

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

A: Recall the following facts.

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, -1). (Enter…

A: Given  u=(3, 2),  w=(3, -1) and v=(-3, -2). Let  v = α·u + β·w We have to find the values of α and…

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: y = Ax? + Be2x ·Be²x

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Q: Let u= (-2, – 1) and v= (-8, -5). Find u+ v.

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Q: +3 2y +1 4x-35 5y-8 4 11/5

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Q: 8A · 19^.

A: The given expression is 64·83. The following rule is used in simplifying the given expression.…

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

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Q: 2x+t = s, for t.

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Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

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Q: Express in the form (a+bj): (4+7j)-j) (2–5 3.1 3.2 e

A: The complex numbers are usually represented in the form of z=a+bj , where, a is the real part and b…

Q: Point P sweeps out central angle 0 as it rotates on a circle of radius r as given below. Find the…

A: we have give that , θ=24, t=8 min we have to find the angular velocity at point p

Q: Calculate the linear combination: 1 (2, 2, –4) + 4 (-2, 3, 2) = %3D

A: Linear combination of a set of vectors: Let us consider V be a vector space over the field F. Let…