#"There are two force acting on body in different directions"#

#"First ,we have to find the vectorial sum of the two forces."#

#F_1= < -7,1 >" ; "F_2= <6,-3>#

#vec F_1= -7i+j" ; "vec F_2=6i-3j#

#vec F_R:"represents the vectorial sum of "vec F_1" and "vec F_2#

#vec F_R=(-7+6)i+(1-3)j#

#vec F_R=-i-2j#

#"now,we need to find the magnitude of "vec F_R#

#F_"net"=sqrt((-1)^2+(-2)^2)=sqrt(1+4)=sqrt5" "N#

#"We have to use the Newton's second law of motion :"#

#a:"represents the acceleration of object"#

#m:"represents the mass of object"#

#a=F_"net"/m#

#a=sqrt5/9" "m/s^2#

#"direction of acceleration is being shown in animation above."#