Find 2u 5v u v and 5u 4v for the given vectors u and v u

Find 2u, -5v, u + v, and 5u - 4v for the given vectors u and v. u = i + j, v = i - j 2u = -5v = u + v = 5u - 4v =

Solution

2u :
2u = 2(i + j)
2i + 2j ---> FIRST ANSWER

---------------------------------------------------------------------------------------------

-5v :
-5(i - j)
-5i + 5j ---> ANSWER

---------------------------------------------------------------------------------------------

u + v :
(i + j) + (i - j)
i + j + i - j
2i ---> ANSWER

---------------------------------------------------------------------------------------------

5u - 4v :
5(i + j) - 4(i - j)
5i + 5j - 4i + 4j
i + 9j ---> ANSWER