Sum of the series when i and j are independent

Problems on Sum of the Series When I and J are Dependent

Find the Sum of sine series when angle are in AP

Two fair dice are rolled. Let P(A_(i))gt0 donete the event that the sum of the faces of the dice is divisible by i. The number of all possible ordered pair (I,j) for which the events A_(i) and a_(j) are independent is

Two fair dice are rolled. Let P(A_(i))gt0 donete the event that the sum of the faces of the dice is divisible by i. The number of all possible ordered pair (I,j) for which the events A_(i) and a_(j) are independent is

Two fair dice are rolled. Let P(A_(i))gt0 donete the event that the sum of the faces of the dice is divisible by i. The number of all possible ordered pair (I,j) for which the events A_(i) and a_(j) are independent is

Find the Sum of Cosine series when angle are in AP

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .

A unit vector parallel to the sum of the vectors 2 i + 3j -k and 4i + 2j + k is