If `vecp` is a unti vector and `(vecy-vecp).(vecy+vecp)=8`, then find `|vecy|`

If vecp is a unit vector and (vecx-vecp).(vecx+vecp)=80 , then find |\vecx| .

If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then find |vec x|

If vecp is a unit vcetor and (vecx-vecp)*(vecx+vecp)=80 , then find |vecx| .

if vecP +vecQ = vecP -vecQ , then

if vecP +vecQ = vecP -vecQ , then

If vecp=-3veci+4vecj-7veck ans vecq=6veci+2vecj-3veck then find vecpxxvecq . Verify that vecp and vecpxxvecq are perpendicular to each other and also verify that vecq and vecpxxvecq are perpendicular to each other.

If vecp,vecq and vecr are perpendicular to vecq + vecr , vec r + vecp and vecp + vecq respectively and if |vecp +vecq| = 6, |vecq + vecr| = 4sqrt3 and |vecr +vecp| = 4 then |vecp + vecq + vecr| is

The angular momentum vecL =vecr xxvecp " where " vecr is a position vector and vecP is linear momentum of a body. If vecr = 4veci + 6 vecj -3hatk and vecP =2veci +4vecj-5hatk, " final " vecL