Given A (-3,1) to origin to C (1,3). How do you measure that angle?

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Answer 1 · 2016-08-16T16:47:57

#m/_AOC=pi/2#.

#A(-3,1), C(1,3)# are given pts. and we require the measure of

#/_AOC#, i.e., #m/_AOC#, where, #O# is the Origin, #O(0,0)#

Let the slope of line #OA# be #m_1#, and, #m_2# that of line #OC#.

Then, #m_1=(1-0)/(-3-0)=-1/3, and, m_2=(3-0)/(1-0)=3#.

Hence, #m_1*m_2=(-1/3)(3)=-1#

#rArr OA bot OC#

#m/_AOC=pi/2#.