The vector makes angles Sin^- {}^(1) (( √(2146) )/(65) ) \: and \: sin {}^( - 1) ( (12)/(13) ) with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.

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$\Large\textsf{Hope \: It \: Helped}$

$The vector makes angles Sin^- {}^(1) (( √(2146) )/(65) ) \: and \: sin {}^( - 1) ( (12)/(13) ) with-example-1$

$The vector makes angles Sin^- {}^(1) (( √(2146) )/(65) ) \: and \: sin {}^( - 1) ( (12)/(13) ) with-example-2$

$The vector makes angles Sin^- {}^(1) (( √(2146) )/(65) ) \: and \: sin {}^( - 1) ( (12)/(13) ) with-example-3$

The vector makes angles Sin^- {}^(1) (( √(2146) )/(65) ) \: and \: sin {}^( - 1) ( (12)/(13) ) with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.<…