Mathematics · Vector Algebra
Let a, b and c be the position vectors of three non-collinear points on a plane, α = [a b c], and r = a × b - c × b - a × c. Then, the value of |α||r| represents:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The length of the perpendicular from the origin to the plane.✓
- 2Ratio of the lengths of the diagonals of the parallelepiped formed with o, a, b, c.
- 3Ratio of the numerical values of the volume of the parallelepiped formed with o, a, b, c to its height.
- 4Ratio of the areas of the triangles formed by (o, a, b) to (o, b, c).
Correct answer
The length of the perpendicular from the origin to the plane.
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