Q2 of 177 Page 23

If the position vector of a point (12, n) is such that find the value(s) of n.

Given is the position vector of point (12, n).


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



Now, we need to find n such that.


Recall the magnitude of the vector is given as



Here, x = 12 and y = n




Squaring both the sides, we have







Thus, n = 5 or –5.


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