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If and  are parallel vectors then b is equal to?

  1. 5
  2. 10
  3. 15
  4. 20

Answer (Detailed Solution Below)

Option 3 : 15
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Detailed Solution

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Concept:

If  are two vectors parallel to each other then  or 

Calculation:

Given:

  and  are parallel vectors,

Therefore, 

Equating the coefficient of 

⇒ 1 = 3λ, ∴ λ = 1/3            

⇒ -a = -6λ 

⇒ 5 = bλ                 .... (1)

Put the value of λ in equation (1), we get

5 = b × (1/3)

So, b = 15

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