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For any three vectors veca,vecb,vecc the...

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

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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

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

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

Prove that: (vecaxxvecb)xx(veccxxvecd)+(vecaxxvecc)xx(vecd xx vecb)+(vecaxxvecd)xx(vecbxxvecc)=2[vecb vecc vecd] veca

For any four vectors prove that (vecbxxvecc).(veca xxvecd)+(vecc xxveca).(vecbxxvecd)+(vecaxxvecb).(veccxxvecd)=0

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If the vectors veca, vecb, vecc, vecd are coplanar show that (vecaxxvecb)xx(veccxxvecd)=vec0