In how many ways can you write the vector (4, 3, 2, 1) as a linear...

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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). 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).