Geometrically, the cross product of two vectors is the area of the parallelogram between them. Since this product has magnitude and direction, it is also known as the vector product . A × B = AB sin θ n̂ The vector n̂ (n hat) is a unit vector perpendicular to the plane formed by the two vectors.

Dot product – also known as the “scalar product”, an operation that takes two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors.

Vector Product of Two Vectors

1. If you have two vectors a and b then the vector product of a and b is c.
2. c = a × b.
3. So this a × b actually means that the magnitude of c = ab sinθ where θ is the angle between a and b and the direction of c is perpendicular to a well as b.

The dot product, or inner product, of two vectors, is the sum of the products of corresponding components. Equivalently, it is the product of their magnitudes, times the cosine of the angle between them. The dot product of a vector with itself is the square of its magnitude.

A dot product of two vectors is the product of their lengths times the cosine of the angle between them. If the dot product is 0, then either the length of one or both is 0, or the angle between them is 90 degrees.

A unit vector is a vector of unit magnitude and a particular direction. They specify only direction. They do not have any dimension and unit. In a rectangular coordinate system, the x, y and z axes are represented by unit vectors, î,ĵ andk̂ These unit vectors are perpendicular to each other.

A unit vector is a vector of length 1, sometimes also called a direction vector (Jeffreys and Jeffreys 1988). The unit vector having the same direction as a given (nonzero) vector is defined by. where denotes the norm of , is the unit vector in the same direction as the (finite) vector .

Suppose two ships are moving in different directions at some angle between them and we have to find the distance between them we use the formulaR2=a2+b2−2abcosθ But if we have to find the resultant between two forces we use the formulaR2=a2+b2+2abcosθ.

Vectors are living organisms that can transmit infectious diseases between humans or from animals to humans. Mosquitoes are the best known disease vector. Others include ticks, flies, sandflies, fleas, triatomine bugs and some freshwater aquatic snails.

A: Malaria is not caused by a virus or bacteria. Malaria is caused by a parasite known as Plasmodium, which is normally spread through infected mosquitoes.

List of vector-borne diseases, according to their vector

They will, at least for a time, produce enough virus in their bodies to infect mosquitoes. In this manner, mosquitoes pick up the virus and may become vectors, or organisms that transmit the disease to other animals, such as birds, horses or humans.