Prove that volume of a parallelopiped with coterminal edges as `bara,barb,barc` is `[bara,barb,barc]`. Hence find the volume of the parallelopiped with coterminal edges `hat("i")+hat(j),hat(j)+hat(k)andhat(k)+hat("i")`.

Prove that the volume of the parallelopiped with coterminus edges as bar(a), bar(b), bar(c) is [bar(a),bar(b),bar(c)] and hence find the volume of the parallelopiped with its coterminus edges hat(i)+5hat(j)-4hat(k),5hat(i)+7hat(j)+5hat(k) and 4hat(i)+5hat(j)-2hat(k) .

The volume of the tetrahedron whose co-terminous edges are hat(j)+hat(k), hat(k)+hat(i), hat(i)+hat(j) is

Find the volume of the parallelopiped whose cotermius edges are 2hat(i)+hat(j)+3hat(k),-hat(i)+2hat(j)+hat(k) and 3hat(i)+hat(j)+2hat(k) .

The volume of the paralleloP1ped with co-terminous edges given by the vectors hat(j)+hat(k), hat(i)+3hat(k), hat(i)+hat(j) is

Find the volume tetrahedron whose coterminus edges are 7hat(i)+hat(k),2hat(i)+5hat(j)-3hat(k)and 4hat(i)+3hat(j)+hat(k) .

If V is the volume of the parallelopiped having three coterminous edge, as, bara ,barb and barc then the volume of the parallopiped having three coterminous edges as baralpha=(bara.bara)bara+(bara.barb)barb+(bara.barc)barc barbeta=(barb.bara)bara+(barb.barb)barb+(barb.barc)barc bargamma=(barc.bara)bara+(barc.barb)barb+(barc.barc)barc is