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in Mathematics by (64.1k points)
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If P1 : vector r.n1 - d= 0,  P2 : vector r.n2 - d2  and P3 : r.n3- d3 = 0 are three planes and vector n1 ,n2  and vector n3 are three non–coplanar vectors then, the three lines P1 = P2 = 0, P2 = P3 = 0 and P1 = P3 = 0 is –

 (a) parallel lines

(b) coplanar lines

(c) coincident lines

(d) concurrent lines

1 Answer

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Best answer

Correct option  (d) concurrent lines 

Explanation:

P1 = P2 = 0, P2 = P3 = 0 and P3 = P1 = 0 are lines of intersection of the three planes P1 , P2 and P3

As vector n1 ,n2 and n3 are non-coplanar, planes P1 , P2 and P3 will intersect at unique point. So the given lines will pass through a fixed point.

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