Q. 34.8( 6 Votes )

Find a unit vecto

Answer :

We have,

Coordinates of P is (5, 0, 8).


Coordinates of Q is (3, 3, 2).


So,


Position vector of P is given by,




Position vector of Q is given by,



To find unit vector in the direction of PQ, we need to find position vector of PQ.


Position vector of PQ is given by,







We know that, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.


To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector.


For finding unit vector, we have the formula:




Here, .






Thus, unit vector in the direction of PQ is .


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