Question

Let u = (−3, 2, 1, 0), v = (4, 7, −3, 2), w = (5,...

Let u = (−3, 2, 1, 0), v = (4, 7, −3, 2), w = (5, −2, 8, 1). Find the vector x that satisfies 2u − ||v||v = 3(w − 2x).

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Answer #1

The given condition is 2u-||v||v=3(w-2x)

Now write x in terms of u,v and w

2u-||v||v=3(w-2x)

Or,

Or,

Or,

Or,

We have u = (-3,2,1,0) ; v = (4,7,-3,2) ; w = (5,-2,8,1)

Or,

Now substitute the above values in the expression of x

Or, Vector

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