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NEET2018PhysicsMathematics in PhysicsActual

Two vectors are given by A =(3 i + j +3 k ) and B =(3 i +5 j -2 k ) . Find the third vector C if A +3 B - C =0 .

Options

  1. A(12 i +14 j +12 k )
  2. B(13 i +17 j +12 k )
  3. C(12 i +16 j -3 k )
  4. D(15 i +13 j +4 k )

Correct answer

C. (12 i +16 j -3 k )

Step-by-step solution

aligned & A +3 B - C =0 & 3 i + j +3 k +3(3 i +5 j -2 k )- C =0 & 12 i +16 j -3 k - C =0, C =12 i +16 j -3 k aligned

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