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 vector (A) perpendicular to `veca,vecb,vecc,vecd` (B) `parallel to `veca and vecc` (C) `paralel to `vecb and vecd` (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

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(veccxxvecd0 is a vector (A) along the line off intersection of two planes containing veca,vecb and vecc,vecd (B) perpendicular to plane containing veca,vecb and vecc,vecd (C) parallel to the plane containing veca,vecb and vecc,vecd (D) none of these

Vectors cross product

For any three vectors veca, vecb, vecc the vector (vecbxxvecc)xxveca equals

If veca,vecb,vecc are any thre vectors then (vecaxxvecb)xxvecc is a vector (A) perpendicular to vecaxxvecb (B) coplanar with veca and vecb (C) parallel to vecc (D) parallel to either veca or vecb

If veca, vecb, vecc, vecd are coplanar vectors, then (vecaxxvecb)xx(veccxxvecd)=

If the vectors veca, vecb, vecc and vecd are coplanar vectors, then (vecaxxvecb)xx(veccxxvecd) is equal to

Vector product or cross product of vectors

Assertion: The cross product of a vector with itself is a null vector. Reason: The cross-product of two vectors results in a vector quantity.

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.(vecxx(veccxxvecd)) (B) ((vecaxxvecc)xxvecb).vecd (C) (vecaxxvecb).(vecdxxvecc) (D) none of these