Let ` vec a= hat i+ hat ja n d vec b=2 hat i- hat k ,` then the point of intersection of the lines ` vec rxx vec a= vec bxx vec a` and ` vec rxx vec b= vec axx vec b` is a. `(3,-1,1)` b. `(3,1,-1)` c. `(-3,1,1)` d. `(-3,-1,-1)`

Which of the following is/are correct? If vec a= hat i+ hat j and vec b=2 hat i- hat k then the point of intersection of the lines vec rx vec a= vec bx vec a and vec ax vec b= vec ax vec b is 3 vec i+ vec j-k ( vec rdot hat i)( hat i x vec r)+( vec rdot hat j)( hat jx vec r)+( vec rdot hat k)( hat k x vec r)= vec0 If | vec a|=3,| vec b|=5,| vec c|=7 and vec a+ vec b+ vec c= vec0 then the angle between vec aa n d vec b is pi/3 If the vectors vec a , vec b& vec c from the sides B C ,C A&A B respectively of a triangle A B C , then vec ax vec b= vec bx vec cx vec a

If vec a=hat i+hat j,vec b=hat j+hat k,vec c=hat k+hat i find the unit vector in the direction of vec a+vec b+vec c

Let vec a=hat j-hat k and vec c=hat i-hat j-hat k. Then the vector b satisfying vec axvec b+vec c=0 and vec a*vec b=3, is

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

If vec a = hat i + hat j, vec b = hat i + hat k, vec c = hat k + hat i, a unit vector parallel to vec a + vec b + vec c

If vec a=3hat i-hat j and vec b=2hat i+hat j-3hat k, then express vec b in the from vec b=vec b_(1)+vec b_(2), where vec b_(1)||vec a and vec b_(2)perpvec a

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

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 orthogonal.

If vec a=hat i-2hat j-3hat k and vec b=-hat i+hat j-hat k then find the following :(i)|vec a|(ii)vec a*vec b(iii)vec a xxvec b( iv) projection of vec b on vec a.