Three vectors avector;, bvector; and cvector; are such that |avector;| = 3, |bvector;| = 4, |cvector;| = 5 and each of these is perpendicular to the sum of the other two. What is |avector; + bvector; + cvector;|?

Mathematics · Vector Algebra

Three vectors a&#1vector;, b&#1vector; and c&#1vector; are such that |a&#1vector;| = 3, |b&#1vector;| = 4, |c&#1vector;| = 5 and each of these is perpendicular to the sum of the other two. What is |a&#1vector; + b&#1vector; + c&#1vector;|?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

5√2

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