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

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If the co-ordinates of points A ≡ (x1,  y1,  z1) and B ≡ (x2,  y2,  z2), then the vector \(\vec{AB}\)  is

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

The unit vector of any vector  \(\vec a=a_1\hat i+a_2\hat j+a_3\hat k\) can be written as

Hence,

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