![]() A scalar is the one that is specified by its magnitude.Volume, Mass, Speed, Velocity, Displacement, Acceleration, Density, Number of Moles, Angular Frequency, Angular Velocity, Displacement Question 1: State for each of the following physical quantities, if it is a scalar or a vector. The displacement vector refers to that vector which gives the position of a point with reference to a point other than the origin of the coordinate system. If not, the vectors are said to be non – planar vectors. If the vectors lie in the same plane or they are parallel to the same plane, the vectors are said to be coplanar. If the directions are opposite, then A ( vector ) is anti-parallel to B ( vector ). Parallel VectorsĪ and B are said to be parallel vectors if they have the same direction, or may or may not have equal magnitude ( A || B ). The vector whose magnitude is same as that of a (vector) but the direction is opposite to that of a ( vector ) is referred to as the negative of a ( vector ) and is written as – a ( vector ). It can be represented by O and is a Null Vector. Zero vector is a vector with zero magnitudes and an arbitrary direction is a zero vector. Get Physics Important Questions here Zero Vectors Vectors A and B are equal if | A | = | B | as well as their directions, are same. The unit vector in the direction of \( \vec \) respectively. You can download Motion in a Plane Cheat Sheet by clicking on the download button belowĪ unit vector is that vector which is a vector of unit magnitude and points in a particular direction. Addition and Subtraction of Vectors – Graphical Method.Resolution of Vectors and Vector Addition.These change if either the magnitude or direction change or both change.īrowse more Topics under Motion In A Plane.They do not obey the ordinary laws of Algebra.They possess both magnitudes as well as direction.The characteristics of vectors are as followed – Quantity symbol in bold or an arrow sign above For example, displacement, force, torque, momentum, acceleration, velocity, etc.Ĭomparison between Scalars and Vectors CriteriaĪ scalar is a quantity with magnitude only.Ī vector is a quantity with the magnitude as well as direction.Ī number (magnitude), direction and a unit. Vector Quantities: Vector quantities refer to the physical quantities characterized by the presence of both magnitude as well as direction.For example, length, speed, work, mass, density, etc. Scalar Quantities: The physical quantities which are specified with the magnitude or size alone are scalar quantities.Similarly, in null vectors they get confused thinking how the magnitude can be zero, and hence they state null vectors as vectors with null direction. They sometimes state equal vectors are two vectors with only the same magnitude. Students generally make mistakes in stating the definition. Note: Students should have thorough knowledge of theory behind vectors and should be familiar with theory behind it. Generally a null vector is resultant of two equal vectors in opposite directions. A null vector has no direction or it may have any direction. ![]() The null vector is a vector having magnitude equal to zero. Equal vectors may start at different positions. In the question the equal vectors are vectors that have the same magnitude and the same direction. For example velocity, acceleration and forces are vectors. In physics, Euclidean vectors are used to represent physical quantities that have both magnitude and direction, but are located not at a specific place in contrast to scalars, which have no direction. Ī Euclidean vector is thus an entity endowed with a magnitude (the length of the line segment $\left( A,B \right)$) and a direction (the direction from $A$ to $B$). The equivalence class of $\left( A,B \right)$ is often denoted as $\overrightarrow$. In classical Euclidean geometry (that is synthetic geometry), vectors were introduced as equivalence classes, under equipollence of ordered pairs of points two pairs $\left( A,B \right)$ and $\left( C,D \right)$ being equipollent if the points $\left( A,B,D,C \right)$ in this order form a parallelogram such an equivalence class is called vector, more precisely a Euclidean vector. In mathematics and physics, a vector is an element of a vector space.įor many specific vector spaces, the vectors have received specific names which are listed below. In the question we are asked what is an equal vector and null vector.Īt first we will know what the vector is, then we will try to define an equal and null vector. Vector is a line having direction and magnitude. Hint: Learn the definition in the theory part of vectors.
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