Find the interval of for which and lies on same side of .

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

Problem

Find the interval of

\alpha

for which

(\alpha, \alpha^2, \alpha)

and

(3, 2, 1)

lies on same side of

x + y - 4z + 2 = 0