The components of a vector are magnitude and direction.
It is a way of representing the magnetic force at a point in the field. The magnitude and direction of the vector represents the strength and the direction of the magnetic force acting on a charged particle in the field.
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
When performing the cross product of two vectors (vector A and vector B), one of the properites of the resultant vector C is that it is perpendicular to both vectors A & B. In two dimensional space, this is not possible, because the resultant vector will be perpendicular to the plane that A & B reside in. Using the (i,j,k) unit vector notation, you could add a 0*k to each vector when doing the cross product, and the resultant vector will have zeros for the i & jcomponents, and only have k components.Two vectors define a plane, and their cross product is always a vector along the normal to that plane, so the three vectors cannot lie in a 2D space which is a plane.
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
Magnitude and direction are related in vector quantities. The magnitude represents the size of the vector, while the direction indicates the orientation of the vector in space. In a 2D plane, direction can be specified by an angle relative to a reference axis, while in 3D space, direction can be defined by using angles or unit vectors along the coordinate axes.
A scalar is a magnitude that doesn't specify a direction. A vector is a magnitude where the direction is important and is specified.
True ,velocity is a vector quantity ,it is specified by a magnitude and direction.
There is almost never an "IF". All non-zero vectors have a constant, specified direction. Only a zero-vector has a direction which is unspecified.
. Velocity Acceleration
Speed in a specified direction is referred to as velocity. Velocity is a vector quantity that includes information about both the speed and direction of an object's motion.
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
Position is a vector quantity as it has both magnitude (distance) and direction in space.
A vector has size (magnitude) and direction. It represents a quantity with both a numerical value (magnitude) and an associated direction in space.
A negative vector is a vector that has the opposite direction of the original vector but the same magnitude. It is obtained by multiplying the original vector by -1. In other words, if the original vector points in a certain direction, the negative vector points in the exact opposite direction.
Velocity is the vector form of speed. It is the speed of an object in a specified direction.
No, the zero vector has no direction as it does not have magnitude or point in any specific direction. It represents a point in space with no displacement.