Consider the vector i 3, and let V 4 = span(ï) C Rº. %3D %3D 5

Q: Find the component of the resultant vector. f = v = Find: -2f-2v

A: Given  f=6,-3v=-11,8

Q: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Find Vz. 2x + 5y 2= 2x - 5y NOTE: Give your answer in unit vector notation; that is, in terms of i…

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Q: Find Vw. w = x+y³z11 NOTE: Give your answer in unit vector notation; that is, in terms of i, j, and…

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Q: Find the component of the resultant vector. u = v = Find: u +v

A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

Q: dx 24x

A: The given integral is  I1=∫dx24x Solving the integral  I1=∫dx24x=∫2-4xdxLet -4x=u⇒-4dx=du⇒I1=-14∫2u…

Q: Determine whether the specified paradox occurs. A town has 13 police officers to be apportioned…

A: A town has 13 police officers to be apportioned among 3 precincts based on the population of each…

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: I'm still confused on the position vector. The question is Let r(t) be the position vector…

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Q: Which of the following pairs of vectors are perpendicular? -/2 > and O A | -12 > and OB. - 2/2 >…

A: We need to find the pair of vectors which are perpendicular. This can be done as follows:

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: y(x^2 y^2 - m)dx + x(x^2 y^2 + n) dy = 0

A: yx2y2-mdx+xx2y2+ndy=0Let M=yx2y2-m∂M∂y=y·2x2y+x2y2-m        =3x2y2-mLet N=xx2y2+n∂N∂x=3x2y2+nNow,…

Q: Make all obvious simplifications.

A: We have to solve

Q: On the coordinate plane below, sketch the position vector ⟨0, 3⟩.

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: Find the angle 0 between the two vectors u = and v = .

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Q: Find the coordinate vector for p relative to S = {p1.P2-P3} p= 7+ 2x +x²; p1= 1, p2 = x, P3 = x2…

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