Answer:
2u - 6v = -(60i + 14j)
Step-by-step explanation:
First, multiply u by 2:
[tex]2u = 2(-9i+8j) = -18i+16j[/tex]
Then, multiply v by 6:
[tex]6v = 6(7i+5j) = 42i+30j[/tex]
Subtract by combining like terms:
[tex](-18i+16j)-(42i+30j) = (-18i-42i) + (16j-30j) = -60i-14j[/tex]
Therefore, 2u - 6v = -60i - 14j in terms of unit vectors i and j.
