I and j notation

1. What is i and j notation?
2. What is i and j in vectors?
3. Is i or j horizontal?
4. What is the cross product of i and j?

What is i and j notation?

The i,j notation

A vector can be described using i,j notation. A unit vector is a vector of length 1, in Cartesian co-ordinates the unit vectors along the axis are denoted by i and j respectively. Any two-dimensional vector can be written in the form ai+bj a i + b j .

What is i and j in vectors?

The unit vector i has a magnitude of 1 and its direction is along the positive x-axis of the rectangular coordinate system. The unit vector j has a magnitude of 1 and its direction is along the positive y-axis of the rectangular coordinate system.

Is i or j horizontal?

In two dimensions, the fundamental unit vectors, denoted ⃑ 𝑖 and ⃑ 𝑗 , are horizontal and vertical unit vectors, respectively, with nonnegative components.

What is the cross product of i and j?

For example, i × j = k. The included angle (x-axis around to y-axis) is 90° and sin 90° = 1. Using the right-hand rule (the same rule we used in setting up right-handed Cartesian coordinates), we see that i × j points in the positive z-direction, given by unit vector k.