It is necessary to know the magnitude and the direction of the vector.
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
The resultant of two vector quantities is a single vector that represents the combined effect of the individual vectors. It is found by adding the two vectors together using vector addition, taking into account both the magnitude and direction of each vector.
A magnitude, and a direction. Or, components in two directions, often called "x-component" and "y-component".
A vector quantity is any measurement where the direction is relevant, such as position, velocity, acceleration, force, electric field, etc.
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
The resultant of two vector quantities is a single vector that represents the combined effect of the individual vectors. It is found by adding the two vectors together using vector addition, taking into account both the magnitude and direction of each vector.
Charge is not a vector.
A magnitude, and a direction. Or, components in two directions, often called "x-component" and "y-component".
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
A vector quantity is any measurement where the direction is relevant, such as position, velocity, acceleration, force, electric field, etc.
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
To define a vector quantity, you need both magnitude (the numerical value) and direction. This combination of magnitude and direction is what distinguishes vector quantities from scalar quantities, which only have magnitude.
Physical quantities can be broadly categorized as scalar or vector quantities. Scalar quantities have only magnitude, like mass or temperature, while vector quantities have both magnitude and direction, like velocity or force. Other types of physical quantities include derived quantities (obtained from combinations of base quantities) and dimensionless quantities (without units).
The result R is in the same direction.
Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.
there are two types of quantities - Scalars and vectors. Scalars are quantities which intrinsically have the property of magnitude only. Vectors are quantities which intrinsically have both the properties of magnitude and direction.