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If `vecx and vecy ` are two non-collinear vectors and a, b and c represent the sides of a `Delta ABC` satisfying `(a-b)vec x + (b-c)vecy+ (c-a)(vecxxx vecy) =0`, then `Delta ABC` is (where `vecx xx vecy` is perpendicular to the plane of `vecx and vecy`)A. an acute-angled triangleB. an obtuse-angled triangleC. a right-angled triangleD. a scalene triangle |
Answer» Correct Answer - A As `vecx, vecy and vecx xx vecy` are non-collinear vectors, vectors are linearly independent. Hence, `" "a - b=0 = b -c =c -a ` or `a = b = c` Therefore, the triangle is equilateral. |
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