A force`F` has magnitude of `15N`. Direction of `F` is at `37^(@)` from nagative x-axis towards posititve y-axis. Represent F in terms of `hat i` and `hat J` .

If hat i and hat j are unit vectors along X - and Y -axis respectively,then what is the magnitude and direction of hat i+hat j and hat i-hat j?

A force vec((F)) = - K(yhat(i) + x hat(j)) (where K is a positive constant) acts on a particle moving in the X-Y plane. Starting from the origin, the particle is taken along the positive X-axis to the point (a, 0) and then parallel to the Y-axis to the point (a,a). The total done by the force vec(F) . of the particle is

What are the angles made by vector vec A =hat i + sqrt 3 hat j with x-axis and y-axis ?

What are the angles made by vector vec A =hat I + sqer 3 hat j with x-axis and y-axis ?

If hat(i) and hat(j) are unit vectors x and y axes repsectively , what is the magnitude and direction of hat(i) + hat(j) and hat(i) - hat(j) ?

A force acting on a certain particle depends of the particles position in the xy-plane. This force F is given by the expression vec(F) = (xy hat(i) + xy hat(j)) (1 N//m^(2)) where x and y are expressed in metre. If vec(F) is a conservation force ?

What is the angle between hat(i) + hat(j) with the x - axis ?

Assertion: If hat(i) and hat(j) are unit Vectors along x-axis and y-axis respectively, the magnitude of Vector hat(i)+hat(j) will be sqrt(2) Reason: Unit vectors are used to indicate a direction only.