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 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) is vector perpendicular to both vec(b) and vec(c ) , then

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 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 the unit vector perpendicular to both the vector vec(a) and vec(b) , then what is another unit vector perpendicular to both the vectors vec(a) and vec(b) ?

Column I, Column II If | vec a|=| vec b|=| vec c| , angel between each pair of vecrtor is pi/3 and | vec a+ vec b+ vec c|=sqrt(6),t h e n2| vec a| is equal to, p. 3 If vec a is perpendicular to vec b+ vec c , vec b is perpendicular to vec c+ vec a , vec c is perpendicular to vec a+ vec b ,| vec a|=2,| vec b|=3a n d| vec c|=6,t h e n| vec a+ vec b+ vec c|-2 is equal to, q. 2 vec a=2 hat i+3 hat j- hat k , vec b=- hat i-4 hat k , vec c= hat i+ hat j+ hat ka n d vec d=3 hat k+2 hat j+ hat k ,t h e n1/7( hat axx hat b)dot( hat cxx hat d) is equal to, r. 4 If | vec a|=| vec b|=| vec c|=2a n d vec adot vec b= vec bdot vec c= vec cdot vec a=2,t h e n[ vec a vec b vec c]cos 45^0 is equal to, s. 5

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| .