The number of vectors of unit length perpendicular to vectors ` vec a=(1,1,0)a n d vec b=(0,1,1)` is a. one b. two c. three`` d. infinite

The number of vectors of unit length perpendicular to vectors vec a=(1,1,0) and vec b=(0,1,1) is a.one b. two c.three d.infinite

What is the number of vectors of length 5 units, perpendicular to the vectors vec(a) = (1.1.0) and vec(b)= (0.1.1) ?

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

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

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

Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b=(1,-2,3) and satisfies the condition vec cdot( hat i+2 hat j-7 hat k)=10. Then vector vec c is equal to a.(7,5,1) b. -7,-5,-1 c. 1,1,-1 d. none of these

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