Basic operation with i j and k.

Basic operation with i j and k. i , j , k are the unit vectors in the directions x , y , z respectively. Vectors in general have both magnitude and direction, they use some linear combination of i , j , k to represent a particular vector which contains the information of both direction and magnitude of the vector. Explanation: i , j , k are the unit vectors in the directions x , y , z respectively. Vectors in general have both magnitude and direction, they use some linear combination of i , j , k to represent a particular vector which contains the information of both direction and magnitude of the vector. Thus the vector product of any unit vector, i, j, or k, with itself is zero. The vector product of any one of these three unit vectors with any other one, however, is not zero because the included angle is not zero. For example, i × j = k. The included angle (x-axis around to y-axis) is 90° and sin 90° = 1. Explanation: are the unit vectors in the directions respectively. Vectors in general have both magnitude and direction, they use some linear combination of to represent a particular vector which contains the information of both direction and magnitude of the vector. let's say to be a vector then it is represented as where the magnitude is . If they ask why specifically , It's just convention to represent unit vectors that are accepted worldwide. Hence, we use for vectors.