What is the direction of a vector with an x component of -12 m and a y component of -15 m?

Question

What is the direction of a vector with an x component of -12 m and a y component of -15 m?

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Thiên Thanh 15 mins 2021-07-22T20:21:52+00:00 1 Answers 0 views 0

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    2021-07-22T20:23:11+00:00

    Answer:

    51.34^{\circ}

    Explanation:

    Given that,

    x component of a vector = -12 m

    The y component of a vector = -15 m

    We need to find the direction of a vector. The direction of a vector is given by :

    \tan\theta=\dfrac{y}{x}

    Put all the values,

    \tan\theta=\dfrac{-15}{-12}\\\\\theta=\tan^{-1}(\dfrac{-15}{-12})\\\\\theta=51.34^{\circ}

    So, the direction of vector is 51.34^{\circ} to x component.

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