If `veca,vecb` and `vec c` are perpendicular to `vecb+vecc, vecc+veca, veca+vecb` respectively and if `|veca+vecb|=6`, `|vecb+vecc|=8` and `|vecc+veca|=10` then find the value of `|veca+vecb+vecc|`

If veca,vecb,vecc are perpendicular to vecb+vecc,vecc+veca and veca+vecb respectively and if |veca+vecb|=6,|vecb+vecc|=8 and |vecc+veca|=10,then |veca+vecb+vecc| (A) 5sqrt(2) (B) 50 (C) 10sqrt(2) (D) 10

If veca,vecb,vecc are perpendicular to vecb+vecc,vecc+veca and veca+vecb respectively and if |veca+vecb|=6,|vecb+vecc|=8 and |vecc+veca|=10,then |veca+vecb+vecc| (A) 5sqrt(2) (B) 50 (C) 10sqrt(2) (D) 10

If veca + vecb + vecc = 0 and |veca|=3,|vecb|= 5,|vecc|=7,then find the value of veca.vecb + vecb.vecc + vecc.veca .

If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0 , find the value of veca.vecb+ vecb.vecc + vecc.veca .

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|vecc|=13 and veca+vecb+vecc=0 then find the value of veca.vecb+vecb.vecc+vecc.veca.