Compare the components for the following vector equations
(a) `vecF=mveca` Here m is a positive number (b) `vecp=0`

Explanation

`vecF=mveca`
`F_(x)hati+F_(y)hatj+F_(z)hatk=ma_(x)hati+ma_(y)hatj+ma_(z)hatk`
By comparing the components, we get
`F_(x)=ma_(x),F_(y)=ma_(y),F_(z)=ma_(z)`
This implies that one vector equation is equivalent to three scalar equations.
Case (b): `vecP=0`
`p_(x)hati+p_(y)hatj+p_(z)hatk=0hati+0hatj+0hatk`
By comparing the components, we get
`p_(x)=0,p_(y)=0,p_(z)=0`