What does the cross product physically represent?

A cross product is denoted by the multiplication sign(x) between two vectors. The cross product of two vectors is the third vector that is perpendicular to the two original vectors. Its magnitude is given by the area of the parallelogram between them and its direction can be determined by the right-hand thumb rule.

What is the physical meaning of scalar and the vector product of vectors?

The vector product has the anticommutative property, which means that when we change the order in which two vectors are multiplied, the result acquires a minus sign. The scalar product of two vectors is obtained by multiplying their magnitudes with the cosine of the angle between them.

What is the physical meaning of inner product?

An inner product is a generalization of the dot product. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar.

What is the best physical meaning of the scalar product of vectors?

The scalar product (dot product) of a vector with itself is the square of its magnitude, so it gives you a way to measure length. The dot product of two different vectors is the product of their lengths times the cosine of the angle between them. Divide out their lengths and this gives you a way to measure angles.

What is physical interpretation of scalar triple product?

The scalar triple product of three vectors a, b, and c is (a×b)⋅c. The scalar triple product is important because its absolute value |(a×b)⋅c| is the volume of the parallelepiped spanned by a, b, and c (i.e., the parallelepiped whose adjacent sides are the vectors a, b, and c).

What is the physical meaning of dot product why dot product of two vector will always provide you a scalar?

The dot product (also called inner product) of two vectors is a scalar. It’s equal to the product of the lengths of the vectors and the cosine of the angle between them. The projection of the vector onto the vector is another vector in the same direction as but whose length is . That makes it equal to.

Which of the following is the physical meaning of getting a dotted to B?

The dot product of A and B is the length of the projection of A onto B multiplied by the length of B (or the other way around–it’s commutative). The magnitude of the cross product is the area of the parallelogram with two sides A and B.