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Compute the dot product for vector veca ...

Compute the dot product for vector` veca = 5i - 8j` and vector `vecb = i + 2j`
a)10
b)-11
c)12
d)9

Text Solution

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The correct Answer is:
A, B, D
force on M at C due to gravitatioN/Al attraction
`vecF_(CB)=(Gm^2)/(2R^2)vecj`
`vecF_(CD)=-(Gm^2)/(4R^2)vecj`
`vecF_(CA)=-(Gm^2)/(4R^2) cos 45veci+(Gm^2)/(4R^2)sin 45vecj`
`:. vecF_C=vecF_(CA)+vecF_(CB)+vecF_(CD)`
`=(-Gm^2)/(4R^2)(2+1/2)veci+(Gm^2)/(4R^2)(2+1/2)vecj`
so resultant fore on C,
`vecF_C=(Gm^2)/(4R^2)(2/2+1)`
For moving along the circle
`F=(mv^2)/R`
`=V=(GM)/R ((2/2+1)/4 `
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