`|vecaxxhati|^2+|vecaxxhatj|^2+|vecaxxhatk|^2=` (A) `|veca|^2` (B) `2|veca|^2` (C) `3|veca|^2` (D) `4|veca|^2`

If veca is any then |veca.hati|^2+|veca.hatj|^2+|veca.hatk|^2= (A) |veca|^2 (B) |veca| (C) 2|vecalpha| (D) none of these

If veca is any vector and hati,hatj and hatk are unit vectors along the x,y and z directions then hatixx(vecaxxhati)+hatjxx(vecaxxhatj)+hatkxx(vecaxxveck)= (A) veca (B) -veca (C) 2veca (D) 0

If vecc=vecaxxvecb and vecb=veccxxveca then (A) veca.vecb=vecc^2 (B) vecc.veca.=vecb^2 (C) veca_|_vecb (D) veca||vecbxxvecc

For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |veca xx hatk|^(2) is equal to

For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |veca xx hatk|^(2) is equal to

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to (a) |veca|^(2)(vecb.vecc) (b) |vecb|^(2)(veca .vecc) (c) |vecc|^(2)(veca.vecb) (d) none of these

If |vecaxxvecb|=2,|veca.vecb|=2 , then |veca|^(2)|vecb|^(2) is equal to

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: The value of sin(theta/2) is (A) 1/2 |veca-vecb| (B) 1/2|veca+vecb| (C) |veca-vecb| (D) |veca+vecb|

If theta is the angle between unit vectors veca and vecb then sin(theta/2) is (A) 1/2|veca-vecb| (B) 1/2|veca+vecb| (C) 1/2|vecaxxvecb| (D) 1/sqrt(2)sqrt(1-veca.vecb)

If vectors veca and vecb are two adjacent sides of parallelograsm then the vector representing the altitude of the parallelogram which is perpendicular to veca is (A) vecb+(vecbxxveca)/(|veca|^2) (B) (veca.vecb)/(vecb|^2) (C) vecb-(vecb.veca)/(|veca|)^2) (D) (vecaxx(vecbxxveca))/(vecb|^20