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  • Distance of the point alpha, beta, gamma is: A. beta B. absolute value beat C. absolute value of beta plus absolute value of gamma D. square root of alpha square plus gamma square

Distance of the point (α, β, y) is:
            A. β   B. |β|  C. |β| + |y|  D. √(α² + y²)

Answers (1)

Drawing a perpendicular from (α, β, y) to the y-axis gives us a foot of   \left ( \alpha ,\beta ,\gamma \right ) perpendicular with coordinates (0, β, 0).

Also, using the distance formula, we can calculate the distance between two points as:

AB=\sqrt{\left ( x_{2}-x_{1} \right )^{2}+\left ( y_{2}-y_{1} \right )^{2}+\left ( z_{2}-z_{1} \right )^{2}}

Thus, the required distance =\sqrt{\left ( \alpha-0 \right )^{2}+\left ( \beta-\beta \right )^{2}+\left(\gamma-0 \right )^{2}}=\sqrt{\alpha^{2}+\gamma^{2}}

(Option D)

Posted by

infoexpert24

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