Question

11. 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?
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Answer 1

Answer:

Scalar Product of Two Vectors:

The scalar or dot product of two vectors is defined as the product of magnitudes of the two vectors and the cosine of the angles between them. If a and b are two vectors and θ is the angle between the two vectors then by the definition scalar product of two vectors. a · b = a b cos θ

Give Some Scalar and Vector Examples. Some examples of scalars are mass, density, time, temperature, volume, energy, speed, etc. These quantities can be described using a number only. Examples of vectors are weight, displacement, force, velocity, etc

The resultant of two vectors will be equal to either of them if: (i) The two vectors are of same magnitude. The resultant of two vectors will be equal to either of them if: (i) The two vectors are of same magnitude

Answer 2

• Scalar products can be found by taking the component of one vector in the direction of the other vector and multiplying it with the magnitude of the other vector”. It can be defined as: Scalar product or dot product is an algebraic operation that takes two equal-length sequences of numbers and returns a single number

Explanation:

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