A line L ₁ passes through the point, whose p. v. (position vector) 3 i , is parallel to the vector - i + j + k . Another line L ₂ passes through the point having p.v. i + j is parallel to vector i + k , then the point of intersection of lin

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A line L ₁ passes through the point, whose p. v. (position vector) 3 i , is parallel to the vector - i + j + k . Another line L ₂ passes through the point having p.v. i + j is parallel to vector i + k , then the point of intersection of lines L₁ and L₂ has p.v.

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Correct answer: B. 2 i + j + k

Equation of line L ₁ is r =3 i + (- i + j + k ) Equation of line L₂ is r^ = i + j + ^ ( i + k ) The point of intersection of L ₁ and L ₂ will satisfy r = r ^ aligned & 3 i + (- i + j + k )= i + j + ^ ( i + k ) & (3- ) i + j + k = (1+ ^ ) i + j + ^ k & 3- =1+ ^ and =1 & =1 and ^ =1 aligned Substituting the value of in (i), we get the point of intersection. The point of intersection of lines L ₁ and L ₂ has p.v. 2 i + j + k .

A line L ₁ passes through the point, whose p. v. (position vector) 3 i , is parallel to the vector - i + j + k . Another line L ₂ passes through the point having p.v. i + j is parallel to vector i + k , then the point of intersection of lines L₁ and L₂ has p.v.

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