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Find the unit vector in the direction opposite to the r...

Find the unit vector in the direction opposite to the resultant of forces.  F1 = (-2i - 3j) and F2 = (5i - j)

A.

15(-3i - 4j)

B.

15(-3i + 4j)

C.

15(3i - 4j)

D.

15(3i + 4j)

Correct answer is C

Resultant 

(- 2i - 3j) + (5i - j)

= 3i - 4j 

Unit vector 

= 3i4j|3i4j|=3i4j3i+(4)

= 3i4j25 

= 3i4j5