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प्रश्न
Find the distance between the following pairs of point:
A(3, 2, –1) and B(–1, –1, –1).
उत्तर
AB =\[\sqrt{\left( x_2 - x_1 \right)^2 + \left( y_2 - y_1 \right)^2 + \left( z_2 - z_1 \right)^2}\]
\[= \sqrt{\left( - 1 - 3 \right)^2 + \left( - 1 - 2 \right)^2 + \left( - 1 + 1 \right)^2}\]
\[ = \sqrt{\left( - 4 \right)^2 + \left( - 3 \right)^2 + \left( 0 \right)^2}\]
\[ = \sqrt{16 + 9 + 0}\]
\[ = \sqrt{25}\]
\[ = 5\]
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