the unit vector e which is collinear to vector a = (6,8) , and has the same direction is
.
Explanation:
Here we have , vector a = (6,8) . We need to find the unit vector e which is collinear to vector a = (6,8) , and has the same direction. Let's find out:
We know that for a vector
the unit vector is given by :
⇒
, where |a| is modulus of vector a . So , Modulus of vector a is :
⇒

⇒

⇒

⇒

⇒

Hence , unit vector is given by
or ,
. Vector is already collinear as it's in same direction of original vector as :
⇒

Therefore , the unit vector e which is collinear to vector a = (6,8) , and has the same direction is
.