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This chapter does not intend to cover the topic in a comprehensive manner, but instead touch on a few concepts that you will use in your physical chemistry classes. A vector is a quantity that has both a magnitude and a direction, and as such they are used to specify the position, velocity and momentum of a particle, or to specify a force.
Resolve the vectors into their components along the x and y axes. (Watch the signs.) Then add the components along each axis to get the components of the resultant. Use these to get the magnitude and direction of the resultant. Problems with a lot of components are easier to work on when the values are written in table form like this…
What is a Component? In situations in which vectors are directed at angles to the customary coordinate axes, a useful mathematical trick will be employed to transform the vector into two parts with each part being directed along the coordinate axes.
Interpret physical situations in terms of vector expressions. Vectors can be added together and multiplied by scalars. Vector addition is associative ( Equation 2.8) and commutative ( Equation 2.7 ), and vector multiplication by a sum of scalars is distributive ( Equation 2.9 ). Also, scalar multiplication by a sum of vectors is distributive:
A vector is a quantity that has both a magnitude and a direction, and as such they are used to specify the position, velocity and momentum of a particle, or to specify a force. Vectors are usually denoted by boldface symbols (e.g. u u) or with an arrow above the symbol (e.g. u. ⃗.
Learning Outcomes. The student should be able to define vector component and describe their meaning and importance. The student should be able to use graphical and trigonometric methods to determine the components of a given vector.
9 lut 2019 · To understand how vectors may be added using geometry or by representing them with components. Fundamentally, vectors are quantities that possess both magnitude and direction. In physics problems, it is best to think of vectors as arrows, and usually it is best to manipulate them using components.
