Q. 3 A4.8( 4 Votes )

Find a unit vecto

Answer :

Given two vectors and


Let and


We need to find a unit vector perpendicular to and.


Recall a vector that is perpendicular to two vectors and is



Here, we have (a1, a2, a3) = (4, –1, 3) and (b1, b2, b3) = (–2, 1, –2)






Let the unit vector in the direction of be.


We know unit vector in the direction of a vector is given by .



Recall the magnitude of the vector is



Now, we find.





So, we have



Thus, the required unit vector that is perpendicular to both and is.


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