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  4. Let a, vecb, vecc be vectors of length 3,4,5 respectively. Let a be perpendicular to vecb+ vecc, vecb to vecc+ veca vec c to vec a + vec b . Then | vec a + vec b + vec c | is :

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Q. Let $a, \vec{b}, \vec{c}$ be vectors of length $3,4,5$ respectively. Let a be perpendicular to $\vec{b}+\vec{c}, \vec{b}$ to $\vec{c}+\vec{a} \&$ $\vec{ c }$ to $\vec{ a }+\vec{ b }$. Then $|\vec{ a }+\vec{ b }+\vec{ c }|$ is :

Vector Algebra

Solution:

Correct answer is (d) $5 \sqrt{2}$