Step 1: Calculate 4w - 3v
Given:
v = 3i - 2j
w = √2 + 4j
Calculate 4w:
4w = 4(√2) + 4(4j) = 4√2 + 16j
Calculate 3v:
3v = 3(3i) - 3(2j) = 9i - 6j
Now, find 4w - 3v:
4w - 3v = (4√2 + 16j) - (9i - 6j)
= 4√2 + 16j - 9i + 6j
= -9i + 16j + 4√2 + 6j
= **-9i + 22j +
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