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\ a n d\ vec b , then prove that it is perpendicular to both vec a+ vec b\ a n d\ vec a- vec bdot

If vec(A) is perpendicular to vec(B) , then

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 .

If vec a , vec b are two vectors such that | vec a+ vec b|=| vec b|, then prove that vec a+2 vec b is perpendicular to vec a .

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 a ,\ vec b are two vectors such that | vec a+ vec b|\ =| vec b|, then prove that vec a+2 vec b is perpendicular to vec adot

Let vec a , vec b , vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec aa n d vec b . If the between vec aa n d vec b is pi//6 , prove that [ vec a vec b vec c]^2=1/4| vec a|^2| vec b|^2dot

If a vector vec a is perpendicular to two non collinear vectors vec b\ a n d\ vec c ,\ t h e n\ \ vec a\ is perpendicular to every vector in the plane of \ vec b\ a n d\ vec c

If vec a ,\ vec b ,\ are two vectors such that | vec a+ vec b|=| vec a|, then prove that 2 vec a+ vec b is perpendicular to vec bdot

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot