Question

Find the indicated vector.
Let u=(6, -5), v= (-1,8) Find (4/5)u+(3/5)v

Answer 1

Perhaps it will help to think about vectors slightly different. In order to solve this problem, you need to know vector multiplication and vector addition. Any vector a, and be represented as a sum of its parts (component vectors) ex: A = B + C. what happens if you multiply both B and C by a scalar (any constant try 3). You get that ? = 3B + 3C = 3<0,4> + 3<3, 0> = <0, 12> + <9, 0> = <9, 12>. Note that this is the same as if we multiplied A by 3:
3 * <3, 4> = <9, 12>

Takeaway:
A vector can be represented more simply by unit vectors which point only in a direction
The sum of two vectors, is the sum of their components.
Multiplying a vector by a constant, results in a constant multiplied by each component.

Answer 2

take 4/5 th of and add to 3/5th of V

Answer 3

to do this first you must find the magnitude of each of your vector and then you can rescale it