Urgent....If a,b,c are three vectors of equal magnitude and mutually perpendicular to each other , show that a+b+c is equally inclined to a, b,c.Please help me soon,.......................thank you Share with your friends Share 0 Rajat Sethi answered this a→=b→=c→ and a→.b→ =b→.c→ =c→.a→=0......(i)Let α be angle between a→+b→ +c→ and a→cos α= a→.(a→+b→ +c→ ) a→a→+b→ +c→=a→.a→+a→.b→ +a→.c→ a→a→+b→ +c→= a→ a→a→+b→ +c→........(ii)(Using (i))Similarly,let β and γ be angles between a→+b→ +c→ and b→ ,c→ respectively,thencos β= b→ a→a→+b→ +c→....(iii) cos γ= c→ a→a→+b→ +c→....(iv)From (i) ,(ii),(iii) and (iv),cos α =cos β=cos γ⇒ α = β= γ 2 View Full Answer Aman answered this Take individual dot product of a+b+c with a b and c 0
