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 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\ a n d\ vec b\ a n d\ vec c are mutually perpendicular unit vectors, write the value of | vec a+ vec b+ vec c|dot

If vec c is a unit vector perpendicular to the vectors vec a\ a n d\ vec b write another unit vector perpendicular vec a\ a n d\ vec bdot

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\ a n d\ vec b are mutually perpendicular unit vectors, write the value of | vec a+ vec b|dot

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| .

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec a\ a n d\ vec b are two vectors such that | vec a|=| vec axx vec b|, write the angle between vec a\ a n d\ vec bdot

For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=| vec a|+| vec b| holds.