If `vec(A)` is a vector of magnitude 4 units due east. What is the magnitude and direction of a vector ` - 4 vec(A)` ?

Explanation

The given vector is the resultant of two perpendicular vectors, one along the X-axis of magnitude 25 unit nd the other long the Y-axis of magnitude 60 units. The resultant has a magnitude A given by `A=(sqrt(25)^2+ (60)^2+2xx25xx60 cos 90^0)`
` = (25)^2+(60^2))=65` ltbr. The angle alpha between this vector and the X-axis is given by `tan alpha = 60/25`