Let be any point on the plane

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Let

P(a, b, c)

be any point on the plane

3x + 2y + z = 7

, then find the least value of

2(a^2 + b^2 + c^2)