Question

Define (a) scalar product and (b) vector product of two vectors. Give two

examples of physical quantities of each that can be expressed as scalar and

vector product. When is the magnitude of the resultant of two equal vectors

equal to either of them?​

Answer 1

Vectors can be multiplied in two different ways: the scalar and vector product. As the name says, a scalar product of two vectors results in a scalar quantity, and a vector product in a vector quantity. If is perpendicular to , the scalar product vanishes

Answer 2

Definition of scalar product and vector product of two vectors with examples

• A scalar product or dot product is an algebraic operation that puts up two equal-length sequences of numbers and gives a single number.
• An example of a scalar product is the work done by a Force which is a vector in displacing which is a vector of an object provided by the scalar product of Force and Displacement vectors.

• Vector product or cross product prevails as a binary operation on two vectors in three-dimensional space.
• An example of a vector product is a plane that is perpendicular to the plane which comprises X and Y.

The magnitude of the resultant of two equal vectors equal to either of them

• If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vector, then the angle between the two vectors is 120° angle.

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