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A vector lying in x-y plane has a magnit...

A vector lying in x-y plane has a magnitude 3, and makes an angle `30^(@)` with the x-axis. Find its components along the two axes.

Text Solution

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Let the vector be ` vecA`
Then ` |vecA| = 3, theta =30^(@)`
` A_(x) = A cos theta = 3 cos 30^(@)`
` 3 xx sqrt3/2`
` (3sqrt3)/2`
` A_(y) =A sin theta = 3 sin 30^(@)`
` = 3/2 `
Thus, the two rectangular , compnents are ` A_(x) = (3sqrt3)/2 and A_(y) = 3/2`
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