# Alternative To Unit Vector Notation

This post categorized under Vector and posted on September 23rd, 2019.

Vector notation is a commonly used mathematical notation for working with mathematical vectors which may be geometric vectors or members of vector graphices. Before we had this unit vector notation we would have to draw them and put them heads to tails. And you had to do it visually and it would take you a lot of time. But once you have it broken up into the x and y components you can just separately add the x and y components. So vector a plus vector b thats just 2 plus 10 times i plus 3 plus 2 times j. And thats equal to 12i plus 5j. And Unit vectors enable two convenient idengraphicies the dot product of two unit vectors yields the cosine (which may be positive or negative) of the angle between the two unit vectors. The magnitude of the cross product of the two unit vectors yields the sine (which will always be positive).

As the figures to the right show the vector A can be written in unit vector notation as A Axi Ayj where Ax and Ay are the scalar components of A respectively. This graphic shows you how to calculate the unit vector expressed in vector notation i j and k. For Guidance Contact anil.anilkhandelwalgmail.com.

The hat notation not used in our text is to indicate a unit vector a vector whose magnitude (graphicgth) is 1. Polar Notation r In this notation we specify a vectors magnitude r r 0 and its angle with the positive x-axis the position vector OP. An alternative way of writing this is as a column vector 3 4 means the same as 3i4j. Sometimes one notation is used and sometimes the other. Key Point In two dimensions the unit vectors in the directions of the two coordinate axes are written as i and j. If a point P has coordinates (xy) then the position vector OP may be written as a combination of Vectors have units if you leave them off you are probably a mathematician (just kidding). Also this notation can be expanded to three dimensions by adding a z-hat or k-hat component. Another Three Styles for LaTeX Vector Notation filed in LaTeX Math on Jun.26 2012 Most of the stock math commands are written for typesetting math or computer science papers for academic journals so you might need to dig deeper into LaTeX commands to get the vector notation styles that are common in physics textbooks and articles.

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