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

Question

Philoid · Accepted Answer

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.