In a triangle ABC which of the following is not true-
Answer & explanation
Correct answer: option 3
by the triangle law of addition in the given triangle, we have
\(\vec{AB}\)+\(\vec{BC}\) =\(\vec{AC}\).................(i)
⇒\(\vec{AB}\)+\(\vec{BC}\) = -\(\vec{CA}\)
⇒\(\vec{AB}\) +\(\vec{BC}\)+\(\vec{CA}\) =\(\vec{0}\)...........(ii)
Hence option A is true.
Similarly we can prove \(\vec{AB}\) +\(\vec{BC}\)- \(\vec{AC}\) =0 ̅ and \(\vec{AB}\) -\(\vec{CB}\)+\(\vec{CA}\) =0 ̅ are true so that option B And option D are also correct.
Finally, the false option is C.