" i) Show that "vec a=(hat i-hat j)/(sqrt(2))" is a unit vector."

Show that vec a=(hati-hat j)/(sqrt(2)) is a unit vector.

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

If vec a=hat i+hat j and vec b=4hat i-hat j ,find a unit vector in the direction of the vector (2vec a-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

If vec a= hat i- 2 hat j and vec b= 2 hat i+ 2 hat j , find a unit vector parallel to the vector 3 vec a- 2 vec b .

If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c = hat i-2 hat j+hat k , find a unit vector parallel to the Vector 2 vec a - vecb+ 3 vec c

If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " vec(c)=hat(i)-2hat(j)+hat(k) find a unit vector in a direction parallel to vector (2vec(a)-vec(b)+3vec(c)) .

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+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot