Question

unit vector parallel to the resultant of vector
A= 4i-3j and B = 8i +8j will be​

Answer 1

A = 4i-3j

B = 8i+8j

Resultant vector = 4i-3j+8i+8j = 12i+5j

|Resultant vector| = √(12²+5²) = √144+25 = √169 = 13

Now, we divide the resultant vector with it's magnitude,

12i+5j/13 = 12i/13+5j/13

So,the unit vector parralel to the resultant is 12i/13+5j/13

Cheers!