two vectors undergo vector addition. vector a has a magnitude of 217 units and points to the north. vector b has a magnitude of 156 units an

Question

two vectors undergo vector addition. vector a has a magnitude of 217 units and points to the north. vector b has a magnitude of 156 units and points to the west. what is the direction of the resultant vector? (the angle)

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Linh Đan 3 years 2021-07-18T07:14:51+00:00 1 Answers 17 views 0

Answers ( )

  1. kimchi2
    0
    2021-07-18T07:16:03+00:00
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    Explanation:

    Given that,

    The magnitude of vector A = 217 units to north

    The magnitude of vector B = 156 units to west

    Let R is the resultant. So,

    R=\sqrt{217^2+156^2} \\\\R=267.25\ \text{units}

    Let \theta is the direction of the resultant vector. So,

    \tan\theta=\dfrac{y}{x}\\\\\tan\theta=\dfrac{217}{156}\\\\\theta=\tan^{-1}\left(\dfrac{217}{156}\right)\\\\\theta=54.28^{\circ}

    Hence, this is the required solution.

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