Q. 14

# Show that the lines and are coplanar.[CBSE 2014]  ……(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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