Q. 45.0( 3 Votes )

Express <span lan

Answer :

(i) Given A = (4, –1) and B = (1, 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 vectors of points A and B be and respectively.



We also have.


Recall the vector is given by







Recall the magnitude of the vector is given as



Here, x = –3 and y = 4






Thus, and.


(ii) Given A = (–6, 3) and B = (–2, –5)


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


Let position vectors of points A and B be and respectively.



We also have.


Recall the vector is given by







Recall the magnitude of the vector is given as



Here, x = 4 and y = –8






Thus, and.


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