if sum of two unit vector is a unit vector then magnitude of their differenceis
rachana , 3 Years ago
Grade 11
Mechanics> if sum of two unit vector is a unit vecto...
1 Answers
Priyanshu Gujjar
Last Activity: 3 Years ago
Let a,b be two unit vectors whose sum is also a unit vector c
a+b=c ...... (i) and ∣a∣=∣b∣=∣c∣=1
Now, magnitude of sum of a and b is
∣a+b∣=∣a∣2+∣b∣2+2(a⋅b)
⟹1=1+1+2(a⋅b) ..... From (i)
⟹a⋅b=−21
Magnitude of their difference is given by
=1+1+2×21=3
⟹∣a−b∣=
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