If a and b unit vectors such that [abc]=14, then angle between a and b is?
π3
π4
π6
π2
π12
Explanation for the correct option:
Find the angle between a and b:
Given, [abc]=14
⇒ [a×b,a×b]=14
⇒(a×b).(a×b)=14
⇒ |axb|2=14
⇒ |axb|=12
⇒ a.bsinθ=12 ∵|a×b|=a.bsinθ
⇒ sinθ=12 [ ∵aand b are unit vectors]
∴θ=π6
Hence, Option ‘C’ is Correct.