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A vector a is turned without a change in its length through a small angles d $θ$ . The value of $|∆ a|$ and $∆$ a are, respectively;

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0, a dθ

a · dθ,0

0, 0

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detailed solution

Correct option is B

|Δa|=a2+a2-2·a·a·cos(dθ)=2asindθ2For small angles sindθ2≈dθ2∴ |Δa|=2a×dθ2=a˙·dθ∆a means change in magnitude of vector,i.e., a-a=0⇒Δa=0

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A vector a is turned without a change in its length through a small angles dθ. The value of ∆a and ∆a are, respectively;

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Ready to Test Your Skills?

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A vector a is turned without a change in its length through a small angles d $θ$ . The value of $|∆ a|$ and $∆$ a are, respectively;