`[(vecaxxvecb) (veccxxvecd) (vecexxvecf)]`is equal to
(a)`[vecavecbvecd][veccvecevecf]-[vecavecbvecc][vecdvecevecf]`
(b)`[vecavecbvece][vecfveccvecd]-[vecavecbvecf][veceveccvecd]`
(c)`[veccvecdveca][vecbvecevecf]-[vecavecdvecb][vecavecevecf]`
(d)`[vecaveccvece][vecbvecdvecf]`

For vectors veca,vecb,vecc,vecd, vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc and (vecaxxvecb).(veccxxvecd)=(veca.vecc)(vecb.vecd)-(veca.vecd)(vecb.vecc) Now answer the following question: (vecaxxvecb).(veccxxvecd) is equal to (A) veca.(vecbxx(veccxxvecd)) (B) |veca|(vecb.(veccxxvecd)) (C) |vecaxxvecb|.|veccxxvecd| (D) none of these

For vectors veca,vecb,vecc,vecd, vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc and (vecaxxvecb).(veccxxvecd)=(veca.vecc)(vecb.vecd)-(veca.vecd)(vecb.vecc) Now answer the following question: {(vecaxxvecb).xxvecc}.vecd would be equal to (A) veca.(vecbxx(veccxxvecd)) (B) ((vecaxxvecc)xxvecb).vecd (C) (vecaxxvecb).(veccxxvecd) (D) none of these

For any three vectors veca,vecb,vecc their product would be a vector if one cross product is folowed by other cross product i.e (vecaxxvecb)xxvecc or (vecbxxvecc)xxveca etc. For any four vectors veca,vecb,vecc,vecd the product would be a vector with the help of sequential cross product or by cross product of two vectors obtained by corss product of two pair i.e. (vecaxx(vecbxxvecc))xxvecd or (vecaxxvecb)xx(veccxxvecd). (vecaxxvecb)xx(veccxxvecd) would be a (A) equally inclined with veca,vecb, vecc, vecd (B) perpendicular with (vecaxxvecb)xxvecc and vecc (C) equally inclined with vecaxxvecb and veccxxvecd (D) none of these

For any three vectors veca,vecb,vecc their product would be a vector if one cross product is folowed by other cross product i.e (vecaxxvecb)xxvecc or (vecbxxvecc)xxveca etc. For any four vectors veca,vecb,vecc,vecd the product would be a vector with the help of sequential cross product or by cross product of two vectors obtained by corss product of two pair i.e. (vecaxx(vecbxxvecc))xxvecd or (vecaxxvecb)xx(veccxxvecd). Now answer the following question: (vecaxxvecb)x(veccxxvecd) would be a (A) equally inclined with veca,vecb,vecc,vecd (B) perpendicular with (vecaxxvecb)xxvecc and vecc (C) equally inclined with vecaxxvecb and veccxxvecd (D) none of these

If veca,vecb,vecc,vecd are any for vectors then (vecaxxvecb)xx(veccxxvecd) is a vector (A) perpendicular to veca,vecb,vecc,vecd (B) along the the line intersection of two planes, one containing veca,vecb and the other containing vecc,vecd . (C) equally inclined both vecaxxvecb and veccxxvecd (D) none of these