i) Express the vector u in terms of a, b, c a b p u C

Q: 6. Let a = (1, 0,3) and u = (2,-1,5). a.) (5 pts.) Evaluate projau. b.) (5 pts.) Find a vector that…

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Q: C A

A: We use Triangle law

Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Determine whether the vectors u = and v = are perpendicular.

A: As we know that if the dot product of two vctors is zero then we can say that the vectors are…

Q: Let ū= (2,3,-5) and = (-4,-6,5). Determine a vector equivalent to 2 - 3 v Express - using unit…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Assuming a vector a(2,1,3) and a vector b(-1,2,2) Length vectors Calculate 2a-b and a + 3b.

A: In this question we will use basic of vector addition, subtraction and Multiplication.  First we…

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Let u = - 2, 3 > amd = . a. Compute jul. b. Write 3 - 2u in component form. c. Compute a unit vector…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: Let a = (2, 2, -1) and u = (0, 5, 3). Evaluate projau. a.) b.) Find a nonzero vector that is…

A: Let a = (2, 2, - 1) and u = (0, 5, 3)a.) Evaluate proj_a(u)b.) Find a nonzero vector that is…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

Q: A= 2i+3j+4k, B=i-2j+3k

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Q: Find a unit vector in the direction of vector v = ⟨−2, 3⟩

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Q: Let a, b, and c be vectors. Is it a vector, scalar, or is in meaningless? 1) ( a X b ) + a.b 2) -2 +…

A: We will whether the part 1, 2 and 3 are a vector or a scalar or meaningless as following.