JEE Advanced Mathematics question
If are two noncollinear and nonzero vectors such that
(b - c) p× q + (c - a) p + (a - b) q = 0,
where are the lengths of the sides of a triangle, then the triangle is
Answer: (C)
Solution
Since are nonzero and noncollinear, is nonzero and perpendicular to both, so are noncoplanar (linearly independent). A linear
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