Question

Let alpha beta gama be distinct real numbers the points with position vectros alpha i +beta j+ gama k, beta i+gama j+aplha k,gama i +aplha j +beta k are collinear, form equilateral trianlge, scalene triangle or a right angled triangle?

Answer 1

Answer:

Hope this will help you

Answer 2

Answer:

Let the points be denoted by A,B and C Then

|AB|=(β−α)2+(γ−β)2+(α−γ)2)−−−−−−−−−−−−−−−−−−−−−−−−−√

|BC|=(α−β)2+(α−γ)2+(α−β)2)−−−−−−−−−−−−−−−−−−−−−−−−−√

|CA|=(α−γ)2+(β−α)2+(γ−β)2)−−−−−−−−−−−−−−−−−−−−−−−−−√

Since AB=BC=CA

=> ABC is an equilateral triangle .

Answer : form an equilateral triangle

Explanation:

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