Question
Download Solution PDFWhat is 3α + 2β equal to if (2î + 6ĵ + 27k̂) × (î + αĵ + βk̂) is a null vector?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
⇒ (2î + 6ĵ + 27k̂) × (î + αĵ + βk̂) = 0
⇒
⇒
Comparing both sides, we get
6β – 27α = 0
⇒ 2β = 9α
2β - 27 = 0
⇒ β = 27/2
Also
⇒ 2α – 6 = 0
α =3
Now,
3α + 2β =
∴ Option (1) is correct
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