Q. 2 A4.5( 4 Votes )

If <a name="MTBla

Answer :

We have,



(i). We need to find the unit vector in the direction of .


First, let us calculate .


As we have,



Multiply it by 6 on both sides.



We can easily multiply vector by a scalar by multiplying similar components, that is, vector’s magnitude by the scalar’s magnitude.



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:



Now we know the value of , so just substitute the value in the above equation.



Here, .





Let us simplify.




Thus, unit vector in the direction of is .


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