Question

Give two examples where a vector of different type is

obtained when a vector is multiplied by a scalar.
(question from Maharashtra board 11th standard)​

Answer 1

Answer: When a scaler quantity is multiplied by a vector quantity , the resultant quantity will be a vector quantity which will have both magnitude as well as direction.

For example:

weight = mass * g

Mass is a scaler quantity whereas acceleration due to gravity is a vector quantity. Since Weight is a force i.e. vector quantity . Hence the resultant is a vector quantity.

Also

Linear momentum = mass * velocity

and can be written as..

Vector quantity = scaler * vector

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