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Vector Algebra

Question
CBSEENMA12034026
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In triangle ABC, which of the following is not true
  • AB with rightwards arrow on top space plus space BC with rightwards arrow on top space plus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top
  • AB with rightwards arrow on top space plus space BC with rightwards arrow on top space minus space AC with rightwards arrow on top space equals space 0 with rightwards arrow on top
  • AB with rightwards arrow on top space plus space BC with rightwards arrow on top space minus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top
  • AB with rightwards arrow on top space minus space CB with rightwards arrow on top space plus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top

Solution

C.

AB with rightwards arrow on top space plus space BC with rightwards arrow on top space minus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top In ∆ABC, by triangle law of forces, we have
                     AB with rightwards arrow on top space plus space BC with rightwards arrow on top space plus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top
or                 AB with rightwards arrow on top space plus space BC with rightwards arrow on top space minus space AC with rightwards arrow on top space equals space 0
or                 AB with rightwards arrow on top space minus space CB with rightwards arrow on top space plus space CA with rightwards arrow on top space equals space 0 with rightwards arrow on top
therefore space space space left parenthesis straight C right parenthesis space is space not space true.

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