Give the details of the proof that the altitudes of a triangle are concurrent. Let K be the finite field K={0,1}.Prove that the projective plane P(K3)contains 7 points and 7 lines. Draw the...

Give the details of the proof that the altitudes of a triangle are concurrent.

Let K be the finite field K={0,1}.Prove that the projective plane P(K3)contains 7 points and 7 lines. Draw the configuration formed by the se seven points and lines.