Let ๐=ย (2,ย 4,ย -5)ย ๐=(1,ย -6,9).ย ๐น๐๐๐ย 3๐ข-5๐ฃ
Question
Let ๐=ย (2,ย 4,ย -5)ย ๐=(1,ย -6,9).ย ๐น๐๐๐ย 3๐ข-5๐ฃ
Solution
To find 3u - 5v, you need to multiply each vector by their respective scalar and then subtract the second vector from the first.
Step 1: Multiply vector U by 3 3U = 3*(2, 4, -5) = (6, 12, -15)
Step 2: Multiply vector V by 5 5V = 5*(1, -6, 9) = (5, -30, 45)
Step 3: Subtract 5V from 3U 3U - 5V = (6, 12, -15) - (5, -30, 45) = (1, 42, -60)
So, 3u - 5v = (1, 42, -60).
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