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A) Given that a = 4i + 3j and b = -2i - 5j, find the unit vector parallel to a - b.
a-b = 6i+8j
unit vector parallel to a-b
= (a-b) / | a-b |
= 6i+8j / 10
= 1/10 (6i + 8j) ?
Unit vector = a/|a| = a/√(6²+8²) = a/10 = 3/5i+4/5j
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