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Question
Find the magnitude of a vector with initial point : (1, −3, 4); terminal point : (1, 0, −1)
Solution
Let A = (1, –3, 4) and B = (1, 0, –1)
∴ `bar("a") = hat"i" - 3hat"j" + 4hat"k"` and `bar("b") = hat"i" - hat"k"`
∴ `bar("AB") = bar("b") - bar("a")`
= `(hat"i" - hat"k") - (hat"i" - 3hat"j" + 4hat"k")`
= `3hat"j" - 5hat"k"`
∴ Magnitude of `bar("AB") = sqrt(3^2 + (-5)^2)`
= `sqrt(9 + 25)`
= `sqrt(34)`
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