Q. 2 B4.7( 3 Votes )

If <span lang="EN

Answer :

We need to find the unit vector in the direction of .


First, let us calculate .


As we have,


…(a)


…(b)


Then multiply equation (a) by 2 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.


…(c)


Subtract (b) from (c). We get,





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 we just need to substitute in the above equation.



Here, .





Thus, unit vector in the direction of is .


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