This physics video tutorial shows you how to add or subtract vectors to calculate the magnitude and direction angle of the resultant force vector ad how to perform operations such as the dot. Other vector quantities which we will define later will obey the same rules. In physics one distinguishes scalars number with a unit and vectors number with a unit and direction. If youre seeing this message, it means were having trouble loading external resources on our website. Kolecki national aeronautics and space administration glenn research center cleveland, ohio 445 tensor analysis is the type of subject that can make even the best of students shudder. Quiz on vectors solutions to exercises solutions to quizzes the full range of these packages and some instructions, should they be required, can be obtained from our web page mathematics support materials. An introduction to tensors for students of physics and engineering joseph c. An introduction to tensors for students of physics and.
This notation is standard in all books on physics and engineering. This is equivalent to turning vector a around in the applying the above rules for addition. The video lessons in this vectors in physics chapter are designed to teach students about the applications of vectors, including how to multiply and subtract them. The basis vectors are numbered by subscripts whereas the coordinates are numbered by superscripts. It is also used in books on introductory mathematics. Scalars in mathematics and physics are quantities described completely by a number and eventually a measurement unit. B unit vectors are nondenominate, have a magnitude of unity, and are used only to specify a direction. We define subtraction as addition with the opposite of a vector. Introduction to distance, displacement, speed, and velocity. Notes on vector algebra in physics, one often introduces vectors as. The sum of two vector displacements can be defined so as. In products such as e 1 x1 we place the vector on the left and the scalar on the right. Preliminaries 7 here is the secret for getting yourself over that 90% hump, even in a physics class arguably one of the most dif. Physics 111 lecture 2 vectors universe of ali ovgun.
How to find the resultant of three or more vectors. You also need to know the direction in which you should walk to the library. The work is a scalar quantity and takes into account only that component of the force that acts along the displacement. Vectors are set in bold font whereas coordinates are set in italic font.
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