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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/Courses/Tuskegee_University/Algebra_Based_Physics_I/03%3A_Two-Dimensional_Kinematics/3.03%3A_Vector_Addition_and_Subtraction-_Graphical_MethodsA vector is a quantity that has magnitude and direction. Displacement, velocity, acceleration, and force, for example, are all vectors. In one-dimensional, or straight-line, motion, the direction of a...A vector is a quantity that has magnitude and direction. Displacement, velocity, acceleration, and force, for example, are all vectors. In one-dimensional, or straight-line, motion, the direction of a vector can be given simply by a plus or minus sign. In two dimensions (2-d), however, we specify the direction of a vector relative to some reference frame (i.e., coordinate system), using an arrow having length proportional to the vector’s magnitude and pointing in the direction of the vector.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/01%3A_Module_0_-_Mathematical_Foundations/1.02%3A_Objective_0.b./1.2.01%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/Bookshelves/University_Physics/Physics_(Boundless)/3%3A_Two-Dimensional_Kinematics/3.2%3A_VectorsVectors are geometric representations of magnitude and direction and can be expressed as arrows in two or three dimensions.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Introduction_to_Astronomy_(Lumen)/11%3A_Stellar_Properties/11.16%3A_Magnitude_SystemThis page explains the magnitude system of ranking stars by brightness, initiated by Hipparchus and later revised by Pogson. It establishes a scale from 1 (brightest) to 6 (faintest), with Polaris rat...This page explains the magnitude system of ranking stars by brightness, initiated by Hipparchus and later revised by Pogson. It establishes a scale from 1 (brightest) to 6 (faintest), with Polaris rated at 2. Pogson's 1856 revisions quantified brightness differences and included the Sun and Moon, introducing the concept of Apparent Magnitude (M v) for measuring how celestial objects appear from Earth.
- https://phys.libretexts.org/Courses/Grossmont_College/ASTR_110%3A_Astronomy_(Fitzgerald)/10%3A_Nature_of_Stars/10.01%3A_The_Brightness_of_StarsThe total energy emitted per second by a star is called its luminosity. How bright a star looks from the perspective of Earth is its apparent brightness. The apparent brightness of a star depends on b...The total energy emitted per second by a star is called its luminosity. How bright a star looks from the perspective of Earth is its apparent brightness. The apparent brightness of a star depends on both its luminosity and its distance from Earth. Thus, the determination of apparent brightness and measurement of the distance to a star provide enough information to calculate its luminosity.
- 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/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/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/Bookshelves/Astronomy__Cosmology/Astronomy_1e_(OpenStax)/17%3A_Analyzing_Starlight/17.01%3A_The_Brightness_of_StarsThe total energy emitted per second by a star is called its luminosity. How bright a star looks from the perspective of Earth is its apparent brightness. The apparent brightness of a star depends on b...The total energy emitted per second by a star is called its luminosity. How bright a star looks from the perspective of Earth is its apparent brightness. The apparent brightness of a star depends on both its luminosity and its distance from Earth. Thus, the determination of apparent brightness and measurement of the distance to a star provide enough information to calculate its luminosity.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/Handouts%3A_Vectors/01%3A_Introduction/1.03%3A_Scalars_and_Vectors_Part_2Vectors 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/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/03%3A_C3)_Vector_Analysis/3.02%3A_Vector_Algebra_in_1_DimensionVectors 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.
