If r=2i - j, S=3i + 5j and t =6i - 2j. Find the magnitude of 2r + s - t

Answer 1

First, find the components of 2r + s - t:
2r + s - t = 2(2i - j) + 3i + 5j - (6i - 2j)
= 4i - 2j + 3i + 5j - 6i + 2j
= i + 5j

Now, find the magnitude of i + 5j:
Magnitude = √(1^2 + 5^2) = √(1 + 25) = √26

Therefore, the magnitude of 2r + s - t is √26.