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Question: If \(\overset{\rightarrow}{a}\)and \(\overset{\rightarrow}{b}\) are two unit vectors and \(\overset{...

If a\overset{\rightarrow}{a}and b\overset{\rightarrow}{b} are two unit vectors and R=a+b\overset{\rightarrow}{R} = \overset{\rightarrow}{a} + \overset{\rightarrow}{b}and also if R|\overset{\rightarrow}{R|} = R, then –

A

R < 0

B

R > 2

C

0 £ R£ 2

D

R must be 2

Answer

0 £ R£ 2

Explanation

Solution

if R|\overset{\rightarrow}{R}| = a+b|\overset{\rightarrow}{a} + \overset{\rightarrow}{b}| then, (a – b) £ R £ (a + b)