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

For any vector, vec a , vec a xx vec a

For any vector vec a , the value of (vec a xx i)^(2) + (vec a xx j)^(2) + (vec a xx k)^(2) =

For any vector vec(a) , the value of (vec(a) xx vec(i))^(2) + (vec(a) xx vec(j))^(2) + (vec(a) xx vec(k))^(2)=

If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec a*vecb)^2 =.......

If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) + vec c xx (vec a xx vec b) =

For any vector vec(a),(vec(a)xx vec(i))^(2)+(vec(a)xx hatj)^(2)+(vec(a)xx vec(k))^(2) = ……….. .

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.