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The x and Y components of a vector barP...

The x and Y components of a vector ` barP` have numerical values 5 and 6 respectively. Find the vector `barP`

Text Solution

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Let `bar(P)` be as shown in the figure then according to the given information
`P_(x)= 5 , P_(y)=6 `
`:. |bar(P)|=sqrt(P_(x)^(2)+P_(x)^(2))`
`=sqrt(25+36)`
`|barP|= sqrt(61)`
and `tantheta = (P_(gamma))/(P_(x))=(6)/(5)`
`implies theta = tan^(-1) ((6)/(5))`

Thus `bar (P)` having magnitude `sqrt(61)` lies in x-y plane at an angle `tan^(-1) ((6)/(5))` to the x- axis .
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