If and such that aA + bB + cC + (a^2 + b^2 + c^2)(A^2 + B^2 + C^2) = 0

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

If a,b,ca, b, c and A,B,C∈R∖{0}A, B, C \in \mathbb{R} \setminus \{0\} such that aA+bB+cC+(a2+b2+c2)(A2+B2+C2)=0, thenaA + bB + cC + \sqrt{(a^2 + b^2 + c^2)(A^2 + B^2 + C^2)} = 0, \text{ then} value of aBbA+bCcB+cAaC\frac{aB}{bA} + \frac{bC}{cB} + \frac{cA}{aC} is (1) 3 (2) 4 (3) 5 (4) 6

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