Maharashtra State BoardHSC Arts 12th Board Exam
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Find the magnitude of a vector with initial point : (1, −3, 4); terminal point : (1, 0, −1) - Mathematics and Statistics

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Sum

Find the magnitude of a vector with initial point : (1, −3, 4); terminal point : (1, 0, −1)

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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)`

Concept: Representation of Vector
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