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ntProve that ...

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ntProve that the planes bx-ay=n, cy-bz=L, az-cx=m intersect in a line if aL+bm+cn=0n

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b x - a y = n, c y - b z = 1, a z - c x = m

intersect in a line if

Q. If the planes

x = c y + b z, y = a z + c x

z = b x + a y

pass through a line then

a^{3} (b z - c y)^{3} + b^{3} (c x - a z)^{3} + c^{3} (a y - b x)^{3} = 3 a b c (b z - c y) (c x - a z) (a y - b x)

x = c y + b z, y = a z + c x, z = b x + a y

pass through one line, if

Q. Consider the planes

P_{1} : c y + b z = x

P_{2} : a z + c x = y

P_{3} : b x + a y = z .

P_{1}, P_{2}

P_{3}

pass through one line, if

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