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  4. If the projections of a line segment on the x, y and z axes in 3-dimensional space are 2, 3 and 6 respectively, then the length of line segment is

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Q. If the projections of a line segment on the x, y and z axes in 3-dimensional space are 2, 3 and 6 respectively, then the length of line segment is

Vector Algebra

Solution:

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$\therefore AB =\sqrt{\left( x _1- x _2\right)^2+\left( y _1- y _2\right)^2+\left( z _1- z _2\right)^2}=\sqrt{4+9+36}=\sqrt{49}=7$