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Class 10 Class 12
Show that there is one and only one set of resolved components in a particular direction.

Let a given vector  be resolved in the direction of two non-parallel vectors

Let there be two sets of resolved components of resultant  in the direction of

That is,

Since,  are components of

Therefore,

And also,

So, from equations (1) and (2), we have,

Since, vector A and B are different non-parallel vectors, so equation (3) is possible only and only if,

Hence, both the sets of components are identical. There is one and only one set of resolved components in a particular direction.

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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views