Answer:
The sum of vectors is <5,2>.
Explanation:
The given vectors are <-1,4> and <6,-2>.
We need to find the sum of the given vectors and illustrate geometrically.
Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).
Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).
Now complete the parallelogram and the diagonal represents the sum of both vectors.
The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.
Check the sum of vectors:
Therefore, the sum of vectors is <5,2>.