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The x and y components of vector vec(A) ...

The x and y components of vector `vec(A)` are `4 m` and `6 m` respectively. The x and y components of vector `vec(A)+vec(B)` are `10 m` and `9 m` respectively. For the vector `vec(B)` calculate the following-

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In term of components
`vecA+vecB=(hatiA_(x)+hatjA_(y))+(hatiB_(x)+hatjB_(y))orvecA+vecB=hati(A_(x)+B_(x))+hatj(A_(y)+B_(y))`
According to given problem
`A_(x)+B_(x)=10,A_(y)+B_(y)=9,A_(x)=4andA_(y)=6`
Therefore,
`B=sqrt(B_(x)^(2)+B_(y)^(2))=sqrt(6^(2)+3^(2))=sqrt(45)m=3sqrt(5)m`
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