Question

of a, b, c are non coplaner. prove that the four points are coplaner​

Answer 1

Answer:

hope it will help you.

good afternoon.

Answer 2

• Let P = - a + 4b -3c
• Q = 3a + 2b - 5c
• R = - 3a + 8b -5c
• S = - 3a + 2b + C

• Now we need to find the vectors.so we have

• PQ = 4a - 2b -2c
• QR = -6a + 6b + 0c
• RS = - 0a - 6b + 6c

• So now we need to find the determinant, so we get

• 4 -2 -6
• -4 6 0
• 0 -6 6

• so we have

• 4(36+0) -(-2) (-36-0) -2 (36-0)
• 144+2 (-36) -2 (36)
• 144 -72 -72
• 0

• So we have proved that the points PQ, QR and RS are Coplanar.

• Then vector P, Q, R, S piont are also coplanar.