Question: In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4,3,0,0), (0, 0, 4, 3) and

In how many ways can you write the vector (4, 3, 2,

In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4,3,0,0), (0, 0, 4, 3) and (0,0,0,1)? Write down the parameterisation for the line through the point p = (1,2,3) and in the direction of the vector (-6,7,5).

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