Question

35. Let a vevtor,b vector and c vector be three vectors such that |a|= 3, |b|=4, |c|=5 and each one of thembeing perpendicular to the sum of the other two, find |ā+b+c|.​

Answer 1

Answer:

∣a∣=3,∣∣∣∣b∣∣∣∣=4,∣c∣=5a⋅(b+c)=0b⋅(a+c)=0c⋅(a+b)=0a⋅b+a⋅c=0b⋅a+b⋅c=0c⋅a+c⋅b=0a⋅b+b⋅c