What is the unit vector `hat a` parallel to the vector `vec a= 3 vec I + 4 vec j - 2 vec k`? Find the vector `vec b` such that `hat a + vec b` becomes the unit vector `vec i`?

Find the unit vector in the direction of the vector vec a + vec b if vec a =vec i +2 vec j + 3 vec k and vec b = 2 vec i + 3 vec j + 5 vec k .

Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3

What is the unit vector parallel to vec a=3hat i+4hat j-2hat k? What vector should be added to vec a so that the resultant is the unit vector hat i ?

Find a unit vector perpendicular to both 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+2hat j+3hat k

If vec a is a unit vector such that vec a xxhat i=hat j then find vec a

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4

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

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