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Question

If x & y are two non collinear vectors and a, b, c represent the sides of a ΔABC satisfying (ab)x+(bc)y+(ca)(x×y)=0 then ΔABC is

A
an acute angle triangle
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B
an obtuse angle triangle
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C
a right angle triangle
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D
a scalene triangle
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Solution

The correct option is A an acute angle triangle
(ab)x+(bc)y+(ca)(x×y)=0
As x,y & (x×y) are non zero, non coplanar vectors,
then ab=bca=0 a=b=c
Hence ΔABC is an equilateral triangle.
Hence, acute angled triangle.

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