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What is a plus b and a - b and c given a - b plus c equals 0 given vector a equals 4.0 i - 3.0 j plus 1.0 k and vector b equals -1.0 i plus 1.0 j plus 4.0 k?
Wiki User
∙ 7y ago
a = 4.0 i - 3.0 j + 1.0 k
b = -1.0 i + 1.0 j + 4.0 k
→ a + b = (4.0 + -1.0) i + (-3.0 + 1.0) j + (1.0 + 4.0) k = 3.0 i - 2.0 j + 5.0 k
→ a - b = (4.0 - -1.0) i + (-3.0 - 1.0) j + (1.0 - 4.0) k = 5.0 i - 4.0 j - 3.0 k
→ a - b + c = 0 → c = -(a - b) = -5.0 i + 4.0 j + 3.0 k
So that a - b + c = (5.0 - 5.0) i + (-4.0 + 4.0) j + (-3.0 + 3.0) k = 0 i + 0 j + 0 k = 0.
Wiki User
∙ 7y ago
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