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`        If a and b are unit vectors then the greatest value of |a+b| and |a-b| is?`
9 months ago

```							Dear student a, b are unit vector , then the greatest value of |a+b| Will be equal to sqrt (1+1 = 1.414Minimum value would be – 1.414Hope this helpsGood luck
```
9 months ago
```							Hey Sridev,To solve this problem we can use the following property :-|A|2 = A . Aand A.B = |A||B| cos(θ) where θ is the angle between the vectors A and B Given A and B are unit vectors:- A.A = B.B = 1 |A + B|2=  (A + B) . (A + B) =  A.A + 2A.B +B.B= 2(1 + |A|*|B|*cos(θ) )= 2(1 + cos(θ))which attains its maximum value when cos(θ) = 1. This is the case when the two vectors are in the same direction.Therefore maximum value of |A+B|2 is 4.Therefore maximum value of |A+B| is 2. Similarly for |A-B| you can show that the magnitude attains a maximum value of 2 when A and B are opposite to each other i.e. cos(θ) = -1.
```
9 months ago
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### Course Features

• 19 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
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• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions