Question Video: Finding the Components of 3D Position Vector Which is Represented Graphically Mathematics • Third Year of Secondary School

Video Transcript

Using the graph, write the vector 𝐀 in terms of its components.

As we have a three-dimensional coordinate grid, vector 𝐀 will have three components, 𝑥, 𝑦, and 𝑧. Moving along the 𝑥-axis, we can see that the 𝑥-component is two. The 𝑦-component is equal to three. Finally, the 𝑧-component is equal to four. This means that vector 𝐀 is equal to two, three, four. The vector 𝐀 in terms of its components is the displacement of point 𝐴 from the origin in the 𝑥-, 𝑦-, and 𝑧-directions.