This post categorized under Vector and posted on January 29th, 2020.

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In physics sometimes you have to find the angle and magnitude of a vector rather than the components. To find the magnitude you use the Pythagorean theorem. And to find you use the inverse tangent function (or inverse sine or cosine). For example vectorume youre looking for a hotel thats 20 miles due east and [] 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 [] Step 1- Decide from where you are going to measure your angle. Lets go with the convention measuring a positive angle going counterclockwise from the positive x-axis. Step 2- Draw your vector -2-5 or -2i-5j is in the third quadrant. You go 2 units to the left on the x axis (in the negative i direction) and then from there down 5 units on the y axis (so below the origin). Step 3- Figure

How to find the direction angle of a vector Because the vector terminus is (3 2 3 3 2) (1.5 2.6) and both components are positive the vector will fall in quadrant I and so will . Step 4 Make any necessary adjustments to find the directional angle from the positive x-axis. Since the reference angle is 60 the directional angle from the positive x-axis is 60 - 0 60. This vector shows you how to find the magnitude and direction angle of the vector V. The magnitude is the hypotenuse of the right triangle formed by the components of Vector V. You can use

Direction of a Vector The direction of a vector is the measure of the angle it makes with a horizontal line . One of the following formulas can be used to find the direction of a vector tan y x where x is the horizontal change and y is the vertical change or How to Find the Angle Between Two Vectors. In mathematics a vector is any object that has a definable vectorgth known as magnitude and direction. Since vectors are not the same as standard lines or shapes youll need to use some special Learn how to find the angle between two vectors - Duration 5 531. How to find the direction angle of a vector - Duration 405. Nicholas Patey 48521 views. 405. Vectors Physics - Addition For more vector and practice problems check out my Pre-calculus course on Udemy httpswww.udemy.commaster-pre-calculus