First slide
Algebra of vectors
Question

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

Easy
Solution

 As x,y and x×y are non-coplanar vectors  linearly  independent. 

 Therefore, ab=0=bc=ca

 a=b=cΔ is equilateral. 

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