Mathematics · Vector Algebra

For three non-zero vectors a, b, and c, if a × (b × c) = 0, then which of the following statements is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1Vector a is always parallel to vector b.
2Either b and c are parallel to each other, or a is perpendicular to the plane of b and c.✓
3Vectors a and b are always perpendicular to each other.
4Vector a is parallel to the plane containing b and c.

Correct answer

Either b and c are parallel to each other, or a is perpendicular to the plane of b and c.

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