Vectors and the Geometry of Space

Question

Two forces, represented by the vectors F₁ =8i +4j and F₂ =−2i +5j , are acting on an object. Give a vector F₃ representing the force that must be applied to the object if it is to remain stationary.

F₃ =

Answer 1

So for the object to be stationary, F₃ must be able to cancel both F₁ and F₂

F₁+F₂=6i+9j

F₃= -6i-9j