`veca,vecb,vecc` क्रमश 3,4,5 परिमाण के सदिश है। यदि प्रत्येक सदिश अन्य दो सदिशो के योग पर लम्ब हो, तो सदिश `veca+vecb+vecc` का परिमाण ज्ञात किजिए।

If veca, vecb, vecc are non-coplanar vectors, prove that the following vectors are coplanar. (i) 3veca - 7vecb - 4vecc, 3veca - 2vecb + vecc, veca + vecb + 2vecc (ii) 5veca +6vecb + 7vecc, 7veca - 8vecb + 9vecc, 3veca + 20 vecb + 5vecc

If veca, vecb, vecc are non-coplanar vectors, prove that the following vectors are coplanar. (i) 3veca - vecb - 4vecc, 3veca - 2vecb + vecc, veca + vecb + 2vecc (ii) 5veca +6vecb + 7vecc, 7veca - 8vecb + 9vecc, 3veca + 20 vecb + 5vecc

The volume of a tetrahedron determined by the vectors veca, vecb, vecc is (3)/(4) cubic units. The volume (in cubic units) of a tetrahedron determined by the vectors 3(veca xx vecb), 4(vecbxxc) and 5(vecc xx veca) will be

The volume of a tetrahedron determined by the vectors veca, vecb, vecc is (3)/(4) cubic units. The volume (in cubic units) of a tetrahedron determined by the vectors 3(veca xx vecb), 4(vecbxxc) and 5(vecc xx veca) will be

If |veca| =5, |vecb| =4, |vecc| =3 and veca + vecb + vecc =0, then the vlaue of |veca, vecb + vecb.vecc+vecc,veca|, is

IF veca,vecb,vecc are three vectors such that each is inclined at an angle pi/3 with the other two and |veca|=1,|vecb|=2,|vecc|=3 then the scalar product of the vectors 2veca+3vecb-5vecc and 4veca-6vecb+10vecc is equal to

If veca, vecb , vecc are the three vectors mutually perpendicular to each other and |veca| =1 , |vecb| = 3 and |vecc| = 5, then [veca -2 vecb, vecb - 3 vecc , vecc - 4 veca] is equal to a)0 b)-24 c)3600 d)-215

If |veca| =3, |vecb| =4 and |vecc| =5 and each of them is perpendicular to the sum of other two then find the value of |veca+vecb+vecc|

The vectors veca,vecb,vecc are such that veca+vecb+vecc=vec0 , If |veca| =3 , |vecb|=4 and |vecc|= 5 , then show that veca.vecb+vecb.vecc+vecc.veca = -25