Let `vec a, vec b and vec c` are vectors of magnitude 3,4,5 respectively. If `vec a` is perpendicular to `vec b+ vec c` , `vec b` is perpendicular to `vec c + vec a` and `vec c` is perpendicular to `vec a+ vec b` then find the magnitude of `vec a + vec b + vec c`

Let vec a, vec b and vec c of magnitudes 3,4 and 5 repectively. If vec a is perpendicular to (vec b + vec c), vec b is perpendicular to (vec c + vec a) and vec c is perpendicular to (vec a + vec b) , then the magnitude of vec a + vec b + vec c is

Let vec a,vec b,vec c be vectors with lengths 3,4,5 respectively.Let vec a be perpendicular to vec b+vec c,vec b be perpendicular to vec c+vec a and vec c be perpendicular to vec a+vec b Tehn find the value of |vec a+vec b+vec c|

Let vec a,vec b, and vec c are vectors such that |vec a|=3,|vec b|=4 and |vec c|=5, and (vec a+vec b) is perpendicular to vec c,(vec b+vec c) is perpendicular to vec a and (vec c+vec a) is perpendicular to vec b. Then find the value of |vec a+vec b+vec c|

Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec b|=4 and | vec c|=5, and ( vec a+ vec b) is perpendicular to vec c ,( vec b+ vec c) is perpendicular to vec a and ( vec c+ vec a) is perpendicular to vec bdot Then find the value of | vec a+ vec b+ vec c| .

Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec b|=4 and | vec c|=5, and ( vec a+ vec b) is perpendicular to vec c ,( vec b+ vec c) is perpendicular to vec a and ( vec c+ vec a) is perpendicular to vec bdot Then find the value of | vec a+ vec b+ vec c| .

If vec c is perpendicular to both vec a and vec b , then prove that it is perpendicular to both vec a+ vec b and vec a - vec b .

If vec c is perpendicular to both vec a and vec b, then prove that it is perpendicular to both vec a+vec b and vec a-vec b .

If vec c is perpendicular to both vec a and vec b, then prove that it is perpendicular to both vec a+vec b and vec a-vec b

If vec A, vec B and vec C are mutually perpendicular vectors, then find the value of vec A. vec (B + vec C) .

If a vector vec a is perpendicular to two non- collinear vector vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec c.