If position vector of the points $A,B,C,D$ are given by $7\hat i-4\hat j+7\hat k,\:\hat i-6\hat j+10\hat k,\:-\hat i-3\hat j+4\hat k\:\:and\:\:5\hat i-\hat j+5\hat k$ respectively, then $ABCD$ is ?

Question

$(a)\:\:Rhombus\:\:\:\qquad\:\:(b)\:\:Rectangle\:\:\:\qquad\:\:(c)\:\:Parallelogram\:\: but\:\: not \:\:Rhombus\:\:\:\qquad\:\:(d)\:\:None\:\:of\:\:these.$