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- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/03%3A_Vectors/3.02%3A_Scalars_and_Vectors_(Part_1)Vectors are geometrically represented by arrows, with the end marked by an arrowhead. The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is gi...Vectors are geometrically represented by arrows, with the end marked by an arrowhead. The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is given by the angle the vector makes with a reference direction, often an angle with the horizontal. When a vector is multiplied by a scalar, the result is another vector of a different length than the length of the original vector.
- https://phys.libretexts.org/Learning_Objects/Visualizations_and_Simulations/PhET_Simulations/PhET%3A_Hooke's_LawStretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and para...Stretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and parallel.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/09%3A_Motion/9.02%3A_Introduction-_Fundamentals_of_Motion-_Scientific_Overview/9.2.04%3A_Vector_AdditionThe sum of the two vectors is the vector that begins at the origin of the first vector and goes to the ending of the second vector, as shown below. The resultant, or sum, vector would be the vector fr...The sum of the two vectors is the vector that begins at the origin of the first vector and goes to the ending of the second vector, as shown below. The resultant, or sum, vector would be the vector from the origin of the first vector to the arrowhead of the last vector; the magnitude and direction of this sum vector would then be measured.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/09%3A_Motion/9.02%3A_Introduction-_Fundamentals_of_Motion-_Scientific_Overview/9.2.03%3A_Resolving_Vectors_into_ComponentsOne of the methods we can use to add these vectors is to resolve each one into a pair of vectors that lay on the north-south and east-west axes. The two vectors we are to add is a force of 65 N at 30°...One of the methods we can use to add these vectors is to resolve each one into a pair of vectors that lay on the north-south and east-west axes. The two vectors we are to add is a force of 65 N at 30° north of east and a force of 35 N at 60° north of west. Using trigonometry, we can resolve (break down) each of these vectors into a pair of vectors that lay on the axial lines (shown in red above).
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/02%3A_Vectors/2.02%3A_Scalars_and_Vectors_(Part_1)Vectors are geometrically represented by arrows, with the end marked by an arrowhead. The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is gi...Vectors are geometrically represented by arrows, with the end marked by an arrowhead. The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is given by the angle the vector makes with a reference direction, often an angle with the horizontal. When a vector is multiplied by a scalar, the result is another vector of a different length than the length of the original vector.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/JJC_-_PHYS_110/07%3A_PhET_Simulations/7.17%3A_PhET-_Hooke's_LawStretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and para...Stretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and parallel.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/03%3A_Vectors/3.03%3A_VectorsFrom the physicist’s point of view, we are interested in representing physical quantities such as displacement, velocity, acceleration, force, impulse, and momentum as vectors. We must always understa...From the physicist’s point of view, we are interested in representing physical quantities such as displacement, velocity, acceleration, force, impulse, and momentum as vectors. We must always understand the physical context for the vector quantity. Thus, instead of approaching vectors as formal mathematical objects we shall instead consider the following essential properties that enable us to represent physical quantities as vectors.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.09%3A_Vectors/2.9.03%3A_Scalars_and_VectorsMake the parallel translation of each vector to a point where their origins (marked by the dot) coincide and construct a parallelogram with two sides on the vectors and the other two sides (indicated ...Make the parallel translation of each vector to a point where their origins (marked by the dot) coincide and construct a parallelogram with two sides on the vectors and the other two sides (indicated by dashed lines) parallel to the vectors. (a) Draw the resultant vector →R along the diagonal of the parallelogram from the common point to the opposite corner.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.11%3A_Vectors/2.11.03%3A_Scalars_and_VectorsMake the parallel translation of each vector to a point where their origins (marked by the dot) coincide and construct a parallelogram with two sides on the vectors and the other two sides (indicated ...Make the parallel translation of each vector to a point where their origins (marked by the dot) coincide and construct a parallelogram with two sides on the vectors and the other two sides (indicated by dashed lines) parallel to the vectors. (a) Draw the resultant vector →R along the diagonal of the parallelogram from the common point to the opposite corner.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/01%3A_Preliminary_Concepts/1.07%3A_NotationThe list below describes notation used in this book
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/11%3A_Electricity/11.03%3A_Static_Electricity/11.3.04%3A_Electric_Field_LinesNote that the electric field is defined for a positive test charge q, so that the field lines point away from a positive charge and toward a negative charge. (See Figure \PageIndex2.) The el...Note that the electric field is defined for a positive test charge q, so that the field lines point away from a positive charge and toward a negative charge. (See Figure \PageIndex2.) The electric field strength is exactly proportional to the number of field lines per unit area, since the magnitude of the electric field for a point charge is E=k|Q|/r2 and area is proportional to r2.
