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Motion in A Plane

Physics Part I

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What do you mean by resolution of a vector? What are the resolved parts called? Discuss a method to resolve a vector into two vectors in given direction?

The process of splitting up the vector into two or more vectors so that combined effect of the resultant vector is same as that of the given vectors.
The vectors into which a given vector is split is called component of vector.

The components of a vector are also vectors.

Let us resolve vector  represented by  into two vectors in the direction of

Draw a line from P parallel to vector  and another line from Q, paralle to vector B.

We can see that the two lines intersect at point S.

Here,

So, we can write,

Therefore, using triangle law of vector addition to vectors , we get

Therefore, these are the resolved components of vector  in the direction of .

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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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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