The x and Y components of a vector barP have numerical values 5 and 6 respectively. Find the vector barP
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Solution :
Let P¯¯¯P¯ be as shown in the figure, then according to the given information.
Px=5,Py=6Px=5,Py=6
∣∣P¯¯¯∣∣=P2x+P2y−−−−−−−√|P¯|=Px2+Py2
25+36−−−−−−√25+36
∣∣P¯¯¯∣∣=61−−√|P¯|=61
And tanθ=PyPx=65tanθ=PyPx=65
⇒θ=tan−1(65)⇒θ=tan-1(65)
=50.19∘=50.19∘
Thus P¯¯¯P¯ having magnitude 61−−√61 lies in x -y plane at an angle 50.19∘50.19∘ to the x-axis.
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