Let →p,→q,→r be three mutually perpendicular vectors of the same magnitude. If a vector →x satisfies the equation →p[(→x−→q)×→p]+→q×[(→x−→r)×→q]+→r×[(→x−→p)×→r]=→0, then →x is given by

Let →p,→q,→r be three mutually perpendicular vectors of the same

1.	Let →p,→q,→r be three mutually perpendicular vectors of the same magnitude. If a vector →x satisfies the equation →p[(→x−→q)×→p]+→q×[(→x−→r)×→q]+→r×[(→x−→p)×→r]=→0, then →x is given by
Answer» Let $\to p, \to q, \to r$ be three mutually perpendicular vectors of the same magnitude. If a vector $\to x$ satisfies the equation $\to p [(\to x - \to q) \times \to p] + \to q \times [(\to x - \to r) \times \to q] + \to r \times [(\to x - \to p) \times \to r] = \to 0$ , then $\to x$ is given by