Let denote the lengths of the sides of a triangle such that (a-b) u + (b-c) v +…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

a, b, c

denote the lengths of the sides of a triangle such that

(a-b)\mathbf{u} + (b-c)\mathbf{v} + (c-a)(\mathbf{u} \times \mathbf{v}) = 0

for any two non-collinear vectors

\mathbf{u}

and

\mathbf{v}

, then the triangle is (1) right angled (2) equilateral (3) isosceles (4) scalene