Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (13, – 12) and half the length of v. w = (?,?) (b) Length v5 and same direction as v = (8,0, – 1). w = (?,?,?)

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: W₁ = B W2 = (9) where a ER, BER. (a) Give an expression for ww2 (b) Does the linear independence of…

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Q: Ex Look at the fixed point (1,11 of [x = x-y lý -1-xy Jacobian: J(x, y) = (y _x) J(₁, 1) = (1 - 1)…

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Q: a.A = 6-j8, B=8-j6 bA=6+j8, B=8-j6 c. A = 6-j8, B=-8+j6 C.

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: 16. 7 -7 – 37 – k

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Q: Give a basis for span(S), where S is the set given below. 1 2 3 2 -2 -1 1 0 2 -3 3 -5 -4 -3 Number…

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Q: 5. 3 2 tu

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Q: Find the equation of the plane sanned by the above two vectors

A: Given: Two vectors u=223 and v=-20-3. To find: Equation of plane spanned by given vectors.

Q: Find the dot product of vectors and .

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Q: 1 2 -5 A = 0 1 4 1 -3 -7 11 11 Find a pair of vectors u, v in R4 that span the set of all ER that…

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Q: - Given the points A: (0,6,2) and B: (-5,-4,6), find the vector u AB

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

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Q: Give the  3 characteristics of a vector

A: Three Character of vectors are given:

Q: R = (-1,5,4,6,0); K(2,-2,1,0,8) 1) d(R, K ) ; 2) ||R|| ; 3) ||K||

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Q: to loss of precision. . Show by counterexample that it is not always true that for 3D vectors a, b,…

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Q: Find two vectors v1 and v2 whose sum is , the rest is on the photo

A: We know if two vectors are parallel then they have same direction or opposite direction. If two…

Q: X-5x2 X ₂ = X₁ + 3 X₂

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Q: Find two vectors a and b such that projba = <4, -2, 8>. That's all the information I was…

A: It is given that,