Find two vectors in opposite directions that are orthogonal

Find two vectors in opposite directions that are orthogonal to two vector u. (There are many correct answers.) u = 1/4 i - 4/3 j positive x-component, positive y-component negative x-component negative y-component One of the events in a strength competition is to pull a cement block 100 feet- One competitor pulls the block by exerting a force of 235 pounds on a rope attached to the block at an angle of 30 degree with the horizontal (see figure). Find the work done in pulling the block. () ft-lb Use the vectors u = (2. 5) and v = (-7, 7) to find the Indicated quantity. 3u middot v 3u middot v =

Solution

v=1/4i -4/5j

In case of orthogonal,the vectors dot product is zero

Therefore the first vector is 4/5i +1/4j

and the other vector is -4/5i-1/4j