Evaluate: `(3veca-5vecb).(2veca+7vecb)`

If veca and vecb are two non collinear unit vectors and |veca+vecb|=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

If veca=(hati-2hatj)/(sqrt(5)) and vecb=(2hati+hatj+3hatk)/(sqrt(14)), then the value of (2veca+vecb)".[(veca xx vecb)xx(veca-2vecb)]

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3 . Then find the value of (2veca+5vecb).(3veca+vecb+vecaxxvecb)

Prove that (veca+3vecb)xx(veca+vecb)+(3veca-5vecb)xx(veca-vecb)=0

Let veca and vecb are unit vectors such that |veca+vecb|=(3)/(2) , then the value of (2veca+7vecb).(4veca+3vecb+2020vecaxxvecb) is equal to

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

Prove that: (2veca-vecb)xx (veca+2vecb)=5vecaxxvecb .

If [ veca vecbvecc]=2 , then find the value of [(veca+2vecb-vecc) (veca - vecb) (veca - vecb-vecc)]

Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2 , if and only if veca , vecb are perpendicular, given veca!= vec0, vecb!= vec0

If |veca|=|vecb| , then (veca+vecb).(veca-vecb) is equal to