OABC is a parallelogram. If `bar(OA) = bar(a),bar(OC) = bar(c )` find the vector equation of the side `bar(BC)`.

OABC is a parallelogram. If bar(OA) = bar(a), bar(OC) = bar(c ) , find the vector equation of the side BC.

OACB is a parallelogram with bar(OC)=bar(a), bar(AB)=bar(b)" then "bar(OA)=

In the parallelogram if bar(AB)=bar(a) and bar(AD)=bar(d) then find bar(BD) .

If ABCD is a parallelogram such that bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(AC), bar(BD) are

In DeltaOAB , L is the midpoint of OA and M is a point on OB such that (OM)/(MB)=2 . P is the mid point of LM and the line AP is produced to meet OB at Q. If bar(OA)=bar(a), bar(OB)=bar(b) then find vectors bar(OP) and bar(AP) interms of bar(a) and bar(b) .

bar(OA)=bara,bar(OB)=barb,bar(OC)=barc then volume of the parallelopiped is :

OABCD is a pyramid with square base ABCD such that bar(OA),bar(OB),bar(OC),bar(OD) are unit vectors and bar(OA) , bar(OB) = bar(OB) .bar(OC) = bar(OC) . bar(OD) = bar(OD) . bar(OA) =1/2, then volume of the pyramid is

bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar(p)=bar(a)+bar(b)-2bar( c ),bar(q)=3bar(a)-2bar(b)+bar( c ) and bar( r )=bar(a)-4bar(b)+2bar( c ) . The volume of the parallelepiped formed by the vectors bar(a),bar(b) and bar( c ) is V_(1) and the volume of the parallelepiped formed by the vectors bar(p),bar(q) and bar( r ) is V_(2) then V_(2):V_(1) = .............

If A(3bar(i)+2bar(j)-bar(k)), B(2bar(i)-2bar(j)+5bar(k)), C(bar(i)+3bar(j)-bar(k)) then vector equation of the line passing through the centroid of DeltaABC and parallel to bar(BC) is