Mathematics · Vector Algebra
Let a, b, c be three vectors mutually perpendicular to each other and having the same magnitude. If a vector r satisfies a × r - b × a + b × (r - c × b) + c × (r - a × c) = 0, then r is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 113(a + b + c)
- 213(2a + b - c)
- 312(a + b + c)✓
- 412(a + b + 2c)
Correct answer
12(a + b + c)
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