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If a =2 i +2 j +3 k , b =- i +2 j + k and c =3 i + j are three vectors such that a +t b is perpendicular to c , then what is t equal to?

Options

  1. A8
  2. B6
  3. C4
  4. D2

Correct answer

A. 8

Step-by-step solution

aligned a +t b & =(2 i +2 j +3 k )+t(- i +2 j + k ) & =(2-t) i +(2+2 t) j +(3+t) k aligned According to the question, ( a +t b ) c =0(2-t) 3+(2+2 t) 1=08-t=0 t=8

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