Let be a triangle whose centroid is . Orthocentre is and circumcentre is the origin .If is any point in the plane of the triangle such that no three of and are collinear satisfying the relation If , then what is the value of the scalar |

Let be a triangle whose centroid is . Orthocentre is and circumcentre is the origin .If is any point in the plane of the triangle such that no three of and are collinear satisfying the relation If , then what is the value of the scalar |

Let a three-dimensional vector satisfies the condition, If , then find the value of |

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