Given the points (1,-1, 4), (2, 1,-1) and (-1, -2, -3) Find; (i) the general vector...

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Given the points (1,-1, 4), (2, 1,-1) and (-1, -2, -3) Find; (i) the general vector on the plane through the points (ii) the equation of the plane containing the points Determine if the vectors (1,2,3), (4,5,6) and (2,1,0) are linearly independent Determine whether; (i) W = {(x, y, z); y + z = 0} in a subspace of R (ii) W = {(x, y, z); x+y+z=0,x-y = 1} is a subspace of R Given the points (1,-1, 4), (2, 1,-1) and (-1, -2, -3) Find; (i) the general vector on the plane through the points (ii) the equation of the plane containing the points Determine if the vectors (1,2,3), (4,5,6) and (2,1,0) are linearly independent Determine whether; (i) W = {(x, y, z); y + z = 0} in a subspace of R (ii) W = {(x, y, z); x+y+z=0,x-y = 1} is a subspace of R

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