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Question

Equation of the plane containing the lines r=^i+^j^k+λ(^i+2^j^k) and r=^i+2^j^k+μ(^i+^j+3^k) is


     


  1. r(7^i4^j^k)=0

  2. 7(x1)4(y1)(z+3)=0

  3. r.(^i+2^j^k)=0

  4. r.(^i+^j+3^k)=0


Solution

The correct option is A

r(7^i4^j^k)=0


A(1,2,1)
AR.(a×b)=0

(a×b)=∣ ∣ ∣^i^j^k121113∣ ∣ ∣=7^i4^j^k[r(^i+2^j^k)](7^i4^j^k)=0r.(7^i4^j^k)=0


     

   

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