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AP EAMCET202423 May 2024Morning ShiftMathematicsVector AlgebraActual

If A B =2 i +3 j -6 k ; B C =6 i -2 j +3 k are the vectors along two sides of a triangle ABC , then perimeter of triangle ABC is:

Options

  1. A21
  2. B74 +14
  3. C74 +19
  4. D74 +3

Correct answer

B. 74 +14

Step-by-step solution

A B =2 i +3 j -6 k ; B C =6 i -2 j +3 k A C = A B + B C =8 i + j -3 k Perimeter of A B C=| A B |+| B C |+| A C |=14+ 74

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