सदिश `2bari+2barj-bark` की दिक्-कोज्याएं हैं:

The volume of a parallelopiped whose co-terminus edges are 2bari - 3barj , bari + barj - bark and 3bari - bark is :

Find the value of lamda for which the four points with position vectors bari - 2barj + bark, 2bari - barj + lamdabark , 2bari + barj -bark and 3bari + barj - bark are coplanar.

The perpendicular distance from origin to the plane passing through the points 2bari -2barj +bark, 3bari +2barj-bark, 3bari -barj-2bark is

Find the set of vectors reciprocal to the set of vectors bara= 2bari +3barj-bark, barb = bari - barj-2bark, barc=--bari +2barj +2bark

If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

The line barr = 2bari - 3barj - bark + lambda (bari - barj + 2bark) lies in the plane barr .(3bari+barj-bark)+2=0 .

Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and coplanar with the vectors 2bari + barj+bark and bari - barj + bark .

If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + lamdabarj + 5bark are coplanar then lamda =