please show all work 4. Consider points A(2,−3,0) and B(−1,2,1). Let u be the vector connecting the origin to point A, and vector v be the vector connecting the origin with point B. (a) Write vectors u and v (b) Find 4u − v (c) Find |u + 3v|

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A: Basics of VECTOR are used.

Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

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Q: = (2, -1) and v= (-2,3). Sketch u and v. Then sketch (show how the vectors are adding up) and…

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Q: Consider the inhomogeneous DE 12 + 6 + 5y = 26 sin(t) dt² dt e. Use the complex number approach to…

A: The given differential equation is: d2ydt2+6dydt+5y=26sin(t). (e) To find: Particular solution using…

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Consider the vectors: u=(-2,6), v=(-3, –4), w =i+9j, and x=8i-6j.

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Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

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Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

A: