If `vec V_1 = hati+hatj+hatk; vec V_2= ahati+bhatj+chatk` where `a,b,c in {-2, -1, 0, 1 , 2}` then the number of non-zero vectors `vec V_2` which perpendicular to `vecV_1/18` is

Let vec v_1= hat i+ hat j+ hat k&( hat v)_2=a hat i+b hat j+c hat k be two vectors where a ,b ,c{-2,-1,0,1,2} . Then find the number of non-zero vectors vec v_2 for which vec v_1dot vec v_2=0

Let vec v_1= hat i+ hat j+ hat k & vec v_2=a hat i+b hat j+c hat k be two vectors, where a ,b ,c belong to the set {-2,-1,0,1,2} . Then find the number of non-zero vectors vec v_2 for which vec v_1 . vec v_2=0

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

The vectors 2hati + 3hatj -4hatk and ahati+bhatj+chatk are perpendicular when :

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2hati +hatj - hatk and vec(c) = hati +3hatj - 2hatk then find vec(a) xx (vec(b) xx vec(c)) .

If vec(A) = hati + 3hatj + 2hatk and vec(B) = 3hati + hatj + 2hatk , then find the vector product vec(A) xx vec(B) .

If vec(v)_(1)+vec(v)_(2) is perpendicular to vec(v)_(1)-vec(v)_(2) , then