If `vec a = 2hat i+hat j- 3hat k and vec beta=hat i-2hat j+hat k` , find a vector of magnitudefind a vector of magnitude 5 perpendicular to both `vec alpha and vec beta`.

If vec(alpha) = 2 hat (i) + hat (j) - 3 hat (k) and vec(beta) = hat (i) - 2 hat (j) + hat (k) , find a vector of magnitude 5 perpendicular to both vec (alpha ) and vec (beta)

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If vec a=hat i+2 hat j+hat k and vec b=2 hat i+hat j and vec c=3 hat i-4 hat j-5 hat k , then find a unit vector perpendicular to both of the vectors vec a-vec b and vec c-vec b .

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

Given vec a = 4 hat i - hat j + 3 hat k and vec b = -2 hat i + hat j - 2 hat k . (i) Find a unit vector perpendicular to both vec a and vec b . (ii) Find a vector of magnitude 9 which is perpendicular to both vec a and vec b .

If vec a=hat i+2hat j+hat k,vec b=2hat i+hat j and vec c=3hat i-4hat j-5hat k then find a unit vector perpendicular to both of the vector (vec a-vec b) and (vec c-vec b)

If vec a*hat i=vec a*(hat i+hat j)=vec a*(hat i+hat j+hat k) then find the unit vector vec a

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

If vec a= hat i+hat j- hat k, vec b= -hat i+2 hat j+ hat k and vec c = - hat i+2 hat j- hatk , then show that the unit vector perpendicular to vec a+ vec b and vec b+ vec c is hat k .