A plane P is parallel to two lines whose direction rations are –2, 1, –3 and –1, 2, –2 and it contains the point (2, 2, –2). Let P intersect the co-ordinate axes at the points A, B, C making the intercepts α , β , γ . If V is the volume of the tetrahedron OABC, where O is the origin and p

Question

A plane P is parallel to two lines whose direction rations are –2, 1, –3 and –1, 2, –2 and it contains the point (2, 2, –2). Let P intersect the co-ordinate axes at the points A, B, C making the intercepts α , β , γ . If V is the volume of the tetrahedron OABC, where O is the origin and p = α + β + γ , then the ordered pair (v, p) is equal to

Accepted Answer

(24, –13)

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