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Q.

If a and b are unit vectors and θ is the angle between them, then find the value of θ, when a-b will be vector of a unit.


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a

π4

b

π3

c

π6

d

π2 

answer is B.

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Detailed Solution

Given,
Unit vector = a and b
Angle of vector = θ
Suppose that,
|a|=1
|b|=1
|a-b|=1
Then calculate the value as per given condition,
|a-b|=|a|2+|b|2-2|a||b|cos⁡θ
⇒1=1+1-2cos⁡θ
⇒1=2-2cos⁡θ
⇒cos⁡θ=12
θ=π3
Correct option is 2.
 
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