Vectors can be added to other vectors in the same vector space. Scalars can be added to other scalars if they have the same units.
Scalars cannot be added to vectors, nor vice versa, directly.
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.
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.
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.
Yes, a scalar product can be negative if the angle between the two vectors is obtuse (greater than 90 degrees). The scalar product is the dot product of two vectors and is equal to the product of their magnitudes and the cosine of the angle between them. A negative scalar product indicates that the vectors are pointing in opposite directions.
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.
No, scalar can be added together directly, whereas vectors can only add their separate components together.
Scalar and vector quantities. Scalar quantities only have magnitude, like the volume of an object. Vectors have both magnitude and direction, like the velocity of an object.
Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.
1000000 is a number and therefore it is a scalar. A scalar cannot be represented as a vector.
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.
Not at all. Scalar are numerical quantities without direction (for example time) where as vectors are numerical quantities with direction (for example gravitational force downward)
No, the sum of two vectors cannot be a scalar.
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.
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.
Yes, a scalar product can be negative if the angle between the two vectors is obtuse (greater than 90 degrees). The scalar product is the dot product of two vectors and is equal to the product of their magnitudes and the cosine of the angle between them. A negative scalar product indicates that the vectors are pointing in opposite directions.
Scalar and vector quantities are both used to describe physical quantities in physics. The key similarity between them is that they both involve numerical values. However, vector quantities also have a direction associated with them, while scalar quantities do not.