Q. 124.5( 2 Votes )

Find the componen

Answer :

(i) Given P = (3, 2)


We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.


Let position vector of point P be.



So, component of along the X-axis is , that is a vector of magnitude 3 along the positive direction of the X-axis.


Also, component of along the Y-axis is , that is a vector of magnitude 2 along the positive direction of the Y-axis.


(ii) Given Q = (5, 1)


We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.


Let position vector of point Q be.



So, component of along the X-axis is 5, that is a vector of magnitude 5 along the positive direction of the X-axis.


Also, component of along the Y-axis is , that is a vector of magnitude 1 along the positive direction of the Y-axis.


(iii) Given R = (–11, –9)


We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.


Let position vector of point R be.



So, component of along the X-axis is , that is a vector of magnitude 11 along the negative direction of the X-axis.


Also, component of along the Y-axis is , that is a vector of magnitude 9 along the negative direction of the Y-axis.


(iv) Given S = (4, –3)


We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.


Let position vector of point S be.



So, component of along the X-axis is , that is a vector of magnitude 4 along the positive direction of the X-axis.


Also, component of along the Y-axis is , that is a vector of magnitude 3 along the negative direction of the Y-axis.


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