The vector sum of the forces of 10N and 6N can be?

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Answer 1 · 2018-05-14T07:52:58

#"the magnitudes of the vector sum can take values from 4 N to 16 N."#

#"you can find the vector sum of two vectors using the formula below."#

#R=sqrt(F_1^2+F_2^2+2*F_1*F_2*cos (theta))#

In this formula, R is the size of the total vector, #F_1 " and " F_2 #are the magnitudes of the summed vectors, and theta is the angle between the two vectors.
# theta" " # angle can take values from 0 to 180.
if #theta" "=0 " "cos (theta)=1#
#R=sqrt(10^2+6^2+2*10*6)=sqrt(100+36+120)=sqrt(256)=16N#
if #theta" "=180 " "cos (theta)=-1#
#R=sqrt(10^2+6^2-2*10*6)=sqrt(100+36-120)=sqrt(16)=4N#
the magnitudes of the vector sum can take values from 4 N to 16 N.
#4<=R<=16#