# Vector Components The Magnitude Of A Vector

This post categorized under Vector and posted on February 17th, 2020.

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To find the magnitude of a vector first determine its horizontal and vertical components on their respective number lines around the origin. Next draw the horizontal and vertical components to plot the point where they intersect. Then draw a line from the origin to that point creating a vector triangle which is a right triangle. Finally In physics when you break a vector into its parts those parts are called its components. For example in the vector (4 1) the x-axis (horizontal) component is 4 and the y-axis (vertical) component is 1. Typically a physics problem gives you an angle and a magnitude to define a vector you have to find [] - [Voiceover] Lets do some examples figuring out the magnitude of a vector if were just given some information about it. So one of the simplest cases would be well if they just told us the actual components of the vector.

If youre given the vector components such as (3 4) you can convert it easily to the magnitudeangle way of expressing vectors using trigonometry. For example take a look at the vector in the image. Suppose that youre given the coordinates of the end of the vector and want to find its magnitude v and [] Let the angle between the vector and its x -component be . The vector and its components form a right angled triangle as shown below. In the above figure the components can be quickly read. The vector in the component form is v 4 5 . The trigonometric ratios give the relation between magnitude of the vector and the Vector components from magnitude and direction

After watching this lesson you will be able to explain what the magnitude of a vector refers to and how to calculate it when given the components This vector explains how to find the component form of a vector given the vectors magnitude and direction. Site httpmathispower4u.com Blog httpmathispower4u Question 6 Calculate the components of vector u whose magnitude is 5 and direction given by the angle in standard position and equal to 270. Solution to Question 6 Let u a b . Traditionally a vector has two components A direction A magnitude In addition one might accept that a vector also contains a starting point although this is technically not part of a vector.