0

Guest

Courses New

Prove by vector meathod that in any triangle ABC,a/sinA=b/sinB=c/sinC

Prove by vector meathod that in any triangle ABC,a/sinA=b/sinB=c/sinC

Grade:12

1 Answers

Soumya jeet Swain
11 Points
5 years ago
Consider a triangle ABC all in order i.e., the direction of vector are in a circular direction, for which the sides let BC= vector a,AC=vector b and AB= vector c,Then a+b+c= 0,then a+b= - c then apply vector product = c× a+ c× B=0 since c×- C=0 as angle between the two is 180. Then c× a= - c× b= b× c the ac sin(π- B)= bc sin(π- A) . Then ac sinB= bc sinA.Then c gets cancelled.we get a÷ sinA= b÷ sinB .Then in similar way a÷ sinA= c÷ sinC.overall we get the required relation i.e. sin rule

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Vectors

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More