Let `vec(A)=hat(i)A cos theta+hat(j)A sin theta`, be any vector. Another vector `vec(B)` which is normal to `vec(A)` is :-

Given: vec(A)=Acos theta hat(i)+Asin theta hat(j) . A vector vec(B) , which is perpendicular to vec(A) ,is given by

Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors parallel and perpendicular to the vector vec(a) = hat(i) + hat(j) .

Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = hat(i) + 5hat(j) and vec(c) = 4hat(i) + 4hat(j) - 2hat(k) . The projection of the vector 3vec(a) - 2vec(b) on the vector vec(c) is

If vec(A) = (1)/(sqrt2) cos theta hat(i) + (1)/(sqrt2) sin theta hat(j) , what will be the unit vector perpendicular to vec(A)

Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and vec(c ) =hat(i) +hat(j) -hat(k) , vector in the plane of vec(a) and vec(b) whose projection on vec(c ) is 1/(sqrt(3)) is ______.

Let vec(a)=hat(i)+2hat(j) and vec(b)=2hat(i)+hat(j) . (i) Then, |vec(a)|=|vec(b)| (ii) Then vectors vec(a) and vec(b) are equal.

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