find the angle made by the vector 4i+3j+5k on x axis​

Question

find the angle made by the vector 4i+3j+5k on x axis​

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Thanh Thu 5 months 2021-08-30T06:42:38+00:00 1 Answers 10 views 0

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  1. Delwyn
    0
    2021-08-30T06:44:23+00:00
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    The angle formed by vector  with x-axis is nearly 35°

    Explanation:

    The magnitude of resultant vector in three dimension

    If vector A = 4i + 3j + 5k

    The calculated magnitude  | A | = \sqrt{4^2 + 3^2 + 5^2} = \sqrt{50} = 7

    If the angle formed with x-axis by this vector is α

    Then cosα = x-component of vector divided by its magnitude

    or cosα = \frac{4}{7} = 0.57

    and angle α = 35° approx

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