30 unit If the value of an angle with the x-axis of a vector is 70 °, the value of the angle with the y axis is 60, what is the value of the

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30 unit If the value of an angle with the x-axis of a vector is 70 °, the value of the angle with the y axis is 60, what is the value of the angle with the z-axis?

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Khánh Gia 3 years 2021-08-30T18:40:41+00:00 1 Answers 7 views 0

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  1. sori
    0
    2021-08-30T18:42:06+00:00
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    Answer: 37.28^{\circ}

    Explanation:

    Given

    Angle made with the x-axis is \alpha=70^{\circ}

    Angle made with the y-axis is \beta=60^{\circ}

    Suppose angle made with z-axis is \gamma

    \therefore \cos^2\alpha+\cos^2\beta+\cos^2\gamma =1

    Inserting values

    \Rightarrow \cos^2(70^{\circ})+\cos^2(60^{\circ})+\cos^2\gamma=1\\\Rightarrow 0.1169+0.25+\cos^2\gamma=1\\\Rightarrow \cos^2\gamma=0.6331\\\Rightarrow \cos \gamma=0.7956\\\Rightarrow \gamma=37.28^{\circ}

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