In trapezium PQRS, given that `QR|| PS and 2QR=PS. If ``vec(PQ)=veca,vec(QR)=vecb and vec(RS)=vecc`, express `vecq` in terms `vecb and vecc`

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

If veca.vecb=veca.vecc, vecaxxvecb=vecaxxvecc and veca!=vec0, then prove that vecb=vecc.

If vecA xx vecB= vec0 and vecB xx vecC=vec0 , then the angle between vecA and vecC may be :

In a regular hexagon two vec(PQ)=vecA, vec(RP)=vecB . Express other vectors's in term of them :-

If vecA + vecB + vecC = vec0 , then vecA.(vecB xx vecC) = ……….

If veca +vecb +vecc =vec0, |veca| =3 , |vecb|=5 and |vecc| =7 , then the angle between veca and vecb is

Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) and vecc= vec(PQ) . " if " |veca| = 12, |vecb| = 4sqrt3 and vecb , vecc = 24 , then which of the following is ( are ) true ?

If PQRS is a quadrilteral such that vec(PQ)=veca,vec(PS)=vecb and vec(PR)=x veca+yvecb show that the area of the quadrilateral PQRS is 1/2|(xy||vecaxxvecb|

Prove that the three points veca-2vecb+3vecc, vec(2a)+3vecb-4vecc and -7vecb+10vecc are collinear