Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your calculations in detail. a = (2–√2 ,3 )  b = (5, –2) – (2,–1) c = (3, 2) d = (–2)(-1,2–√2)

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

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Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

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Q: iven the vectors a = (3,2,-1) and b = (1, -2,3), find the equation of the line joining a nd b. Show…

A: This is a problem of 3D geometry and calculus.

Q: For two vectors A and B, what is the value of A X B²+ (A.B)²?

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Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

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Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in…

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into…

Q: Find the angle between the vectors and .

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Q: Given the vectors s= (-5, 1) and t=(-9, 2), find 3s and s+t. %3D Write your answers in component…

A: Given : s=-5,1t=-9,2

Q: Given the vectors component form. = (-4, 2, 1), (3, 1, 5), calculatex. Write your final answer in =

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Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

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Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: Consider the vestun . il 1:= V2: V3: and u where a E R. (a) For which values of a is the span(v1,…

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Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b)…

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Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

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Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: -0-0 and 2- For the two vectors: U- cijkuivjek find the result of the expression:

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