For any vector `veca` the value of `(vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2` is equal to

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 any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(veca xx vec k)^2 is equal to

If veca is any non-zero vector, then (veca.hati)hati+(veca.hatj)hatj+(veca.veck)hatk is equal to …….

Assertion: Let veca and vecb be any two vectors (vecaxxhati).(vecbxxhati)+(vecaxxhatj).(vecbxxhatj)+(vecaxxhatk).(vecbxxhatk)=2veca.vecb., Reason: (veca.hati)(vecb.hati)+(veca.hatj)(vecb.hatj)+(veca.hatk)(vecb.hatk)=veca.vecb. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

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

If the angle between the vectors vecA and vecB is theta, the value of the product (vecB xx vecA) * vecA is equal to

If hata=hati+2hatj+3hatk, hatb=hatixx(vecaxxhati)+hatjxx(vecaxxhatj)+hatkxx(vecaxxhatk) then length of vecb is equal to (A) sqrt(12) (B) 2sqrt(12) (C) 2sqrt(14) (D) 3sqrt(12)

Consider two vectors veca=3hati-2hatj+4hatk and vecb=hatj+2hatk. If vecc is a unit vector and k be the maximum value of a.(vecbxxvecc) , then the value of k^(2)-50 is equal to

For any three vectors veca, vecb, vecc the value of [(veca+vecb,vecb+vecc,vecc+veca)] is