Q. 23.8( 5 Votes )

Show that t

Answer :

we know that line and are coplanar if


And equation of the plane containing them is



Here, equation of lines are


and


So, x1 = – 1, y1 = 3, z1 = – 2, l1 = – 3, m1 = 2, n1 = 1


x2 = 0, y2 = 7, z2 = – 7, l2 = 1, m2 = – 3, n2 = 2


so,





= 1(4 + 3) – 4(– 6 – 1) – 5(9 – 2)


= 7 + 28 – 35


= 0


So, lines are coplanar


Equation of plane containing line is



(x + 1)(4 + 3) – (y – 3)(– 6 – 1) + (z + 2)(9 – 2) = 0


7x + 7 + 7y – 21 + 7z + 14 = 0


7x + 7y + 7z = 0


X + y + z = 0


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