Q. 48

# Write a unit vector in the direction of , where P and Q are the points (1, 3, 0) and (4, 5, 6) respectively.

Answer :

If the co-ordinates of points A≡ (x_{1}, y_{1}, z_{1}) and B≡ (x_{2}, y_{2}, z_{2}), then the vector is

Given that P≡(1,3,0) and Q≡(4,5,6), we get

The unit vector of any vector can be written as

Hence,

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