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A car is moving in direction vec(r)=-4ha...

A car is moving in direction `vec(r)=-4hat(i)+3hat(j)` with a speed of `10m s^(-1)`. Write the velocity vector of car in unit vector notation.

Text Solution

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The direction of the motion of car is along the unit vector ` vec(r)`

`:. hat(r)=(-4hat(i)+3hat(j))/sqrt(4^(2)+3^(2))=-4/5hat(i)+3/5hat(j)`
Thus, velocity vector of car equal to
`vec(v)=|vec(v)|vec(r) vec(v)=(10m s^(-1))(-4/5hat(i)+3/5hat(j))=(-8hat(i)+6hat(j))m s^(-1)`.
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