Consider the planes 3x - 6y - 2z = 15 and 2x + y - 2z = 5

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Consider the planes 3x−6y−2z=15 and 2x+y−2z=5.3x - 6y - 2z = 15 \text{ and } 2x + y - 2z = 5. Statement I The parametric equations of the line of intersection of the given planes are x=3+14t,y=1+2t,z=15tx = 3 + 14t, y = 1 + 2t, z = 15t . Statement II The vectors 14i^+2j^+15k^14\hat{i} + 2\hat{j} + 15\hat{k} is parallel to the line of intersection of the given planes.

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