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

A vector has x component of -25.0 units and y component of 40.0 units

1.	A vector has x component of -25.0 units and y component of 40.0 units find the magnitude and direction of the vector.
Answer» SOLUTION :Consider a vector `vecA = A_("x")HAT(i)+A_("y")hat(j)` `:.vecA = -25hat(i)+40hat(j)` `\|vecA\|=sqrt(A_("x")^(2)+A_("y")^(2))=sqrt((-25.0)^(2)+(40.0)^(2))` `=47.16~~47.2` UNITS. and `tanalpha=(A_(y))/(A_(x)) = (40.0)/(-25.0)=1.6` `:. alpha = TAN^(-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.