A vector has x component of -25.0 units and y component of 40.0 units find the magnitude and direction of the vector.

Explanation

Consider a vector `vecA=A_(s)hati+A_(y) hatj`
` :. vecA=-25 hati+40 hati`
`|vecA|= sqrt(A_(x)^(2)+A_(y)^(2))= sqrt((-25.0)^(2)+(40.0)^(2))`
and `tan alpha=(A_(y))/(A_(x))=(40.0)/(-25.0)=1.6`
`:. alpha= taun^(-1)(-1.6)=-58.0^(0)` with -ve x axis.
This is in clock wise direction).
This is equivalent to `(122^(@))` in anticlockwise direction with the x-axis.