Show that the lines and are coplanar.

Show that the lines and are coplanar ?


……(1)



……(2)


a1 = 4, b1 = 4, c1 = – 5


a2 = 7, b2 = 1, c2 = 3


x1 = 5, y1 = 7, z1 = – 3


x2 = 8, y2 = 4, z2 = 5


the condition for two line to be coplanar,


= 0


=


=


= 3(12 + 5) + 3(12 + 35) + 8(4 – 28)


= 3 × 17 + 3 × 47 + 8 × (–24)


= 51 + 141 – 192


= 192 – 192


= 0


The lines are coplanar to each other .


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