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Richard
Richard asked in Science & MathematicsMathematics · 1 day ago

Given A at (-2,1) and B at (3, 4), what is the magnitude of vector AB?

a. √34

b. <5,3>

c. √30

d. √8

1 Answer

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  • Puzzling
    Lv 7
    1 day ago
    Favorite Answer

    Take the component differences first:

    3 - (-2) = 5

    4 - 1 = 3

    So you are looking for the magnitude of vector <5, 3>

    Finding the magnitude is just like finding the hypotenuse of a triangle with legs of 5 and 3.

    5² + 3² = ||AB||²

    25 + 9 = ||AB||²

    ||AB||² = 34

    ||AB|| = √34

    Or you can use the formula:

    ||AB|| = √(5² + 3²)

    ||AB|| = √34

    Answer:a. √34

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