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If x and y components of a vector vecP h...

If x and y components of a vector `vecP` have numerical values 5 and 6 respectively and that of ` vecP + vecQ` have magnitudes 10 and 9, find the magnitude of ` vecQ`

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According to the question
`bar(P)=5hati+6 hatj`
and `bar(P) +bar(Q)=10hati+9hatj`
`implies bar(Q)=(10hati+9hatj)-(hatP)`
`= (10hati+9hatj)+(-barP)`
`= 10hati+9hatj-5hati-6hatj`
`= (10-5)hati+(9-6) hatj`
`implies hat(Q)=5hati+3hatj`
or `|bar(Q)|=sqrt(5^(2)+3^(2))`
`= sqrt(25+9)`
`|bar(Q)|=sqrt(34)`
Angle that `bar(Q)` makes with postive x -axis `theta= tan^(-1)((3)/(5))`
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