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if o is the origin & the coordinates of any two points Q1&Q2 are (x1,y1) and (x2,y2) respectively , then prove that OQ1.OQ2 COS(<Q1OQ2)=X1X2+Y1Y2?

if o is the origin & the coordinates of any two points Q1&Q2 are (x1,y1) and (x2,y2) respectively , then prove that OQ1.OQ2 COS(

Grade:12th Pass

1 Answers

Rathod Shankar AskiitiansExpert-IITB
69 Points
10 years ago

OQ1=(x1 y1)  -----vector

OQ2=(x2 y2)

 

dot prodcut = OQ1.OQ2.cos(OQ1 OQ2)  = x1*x2+y1*y2

 

Thank You

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