"For any two vectors ` vec a\ a n d\ vec b` prove that `| vec axx vec b|^2=| (veca. veca ,

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Lagrange identity: If two vector `veca; vecb` are any two vectors `|vecaxx vecb|^2 =( |veca|^2

For any to vectors ` vec A and vec B`, prove that |vec A xx vec B|^2 = A^2 B^2 - ( vec A. vec B)^2`

for any four vectors veca,vecb, vecc and vecdprove that vecd. (vecaxx(vecbxx(veccxxvecd)))=(vecb...

Prove that `(vec(a)-vec(b)) xx (vec(a) +vec(b))=2(vec(a) xx vec(b))`

For any vector vec a\\ a n d\\vec b\nprove that | vec a+ vec b|lt=| vec a|+| vec b|dot | 12 | S...

Prove that `[ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , vecc]` ....

Prove that, ( vec(a) xx vec(b))^(2) + (vec (a).vec(b))^(2) = |veca|^(2) |vec(b)|^(2) | 12 | PRO...

If | vec A + vec B | = | vec A - vec B | for any two vectors, then A and B are: (A) orthogonal vect