The points A ,(a), ,B ,(b), ,C ,(c) will be collinear if - Vidyadip

MCQ

The points $A\,(a),\,B\,(b),\,C\,(c)$ will be collinear if

A
$a + b + c = 0$
✓
$a \times b + b \times c + c \times a = 0$
C
$a\,.\,b + b\,.\,c + c\,.\,a = 0$
D
None of these

✓

Answer

Correct option: B.

$a \times b + b \times c + c \times a = 0$

b
(b) $(b - a) \times (c - b) = 0$ or $b \times c + a \times b + c \times a = 0$.

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