In each of the following find a unit a vector perpendicular to both ` vec (a) and vec (b) `
` vec(a) = (2,1,1) and vec(b) = (1,-1,2)`

In each of the following find a unit a vector perpendicular to both vec (a) and vec (b) vec(a) = 2 hat (i) + hat (j) and vec (b) = - hat (i) + hat (k)

In each of the following find a unit a vector perpendicular to both vec (a) and vec (b) vec(A) = hat (i) + hat (j) and vec (b) = - hat (i) + hat (k)

In each of the following find a unit a vector perpendicular to both vec (a) and vec (b) vec(a) = 2 hat (i) - 2 hat (j) + hat (k) and vec (b) = hat (i) + 2 hat (j) - 2 hat (k)

Show that the vector vec(a) is perpendicular to the vector vec(b) - (vec(a).vec(b))/(|vec(a)|^(2))vec(a)

Find a unit vector perpendicular to each of the vectors vec(a) + vec(b) and vec (a) - vec(b) where vec(a) = 3 hat (i) + 2 hat (j) + 2 hat (k) and vec(b) = hat (i) + 2 hat (j) - 2 hat (k) .

Find a unit vector perpendicular to each of the vector vec a+ vec b and vec a- vec b , where vec a=3 hat i+2 hat j+2 hat k and vec b= hat i+2 hat j-\ 2 hat k

find |vec x| , if for a unit vector vec a, (vec x- vec a)( vec x + vec a) =12

Let vec aa n d vec b be unit vectors that are perpendicular to each other. Then [ vec a+( vec axx vec b) vec b+( vec axx vec b) vec axx vec b] will always be equal to 1 b. 0 c. -1 d. none of these

Find a unit vector perpendicular to each of the vectors ( vec a+ vec b) and ( vec a- vec b) , where vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat k .

If vectors vec aa n d vec b are two adjacent sides of a parallelogram, then the vector respresenting the altitude of the parallelogram which is the perpendicular to a is a. vec b+( vec bxx vec a)/(| vec a|^2) b. ( vec adot vec b)/(| vec b|^2) c. vec b-( vec bdot vec a)/(| vec a|^2) d. ( vec axx( vec bxx vec a))/(| vec b|^2)