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If the projections of a line segment of length “ $d$ ” on the coordinate axes are $d_{1}, d_{2}, d_{3}$ respectively then $d_{1}^{2} + d_{2}^{2} + d_{3}^{2} =$

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Correct option is B

The projection of AB on x- axis is d1=|x2−x1|The projection of AB on y- axis is d2=|y2−y1|The projection of AB on z- axis is d3=|z2−z1|Hence, d12+d22+d32=(x2−x1)2+(y2−y1)2+(z2−z1)2=d2

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If the projections of a line segment of length “d” on the coordinate axes are d1,d2,d3respectively then d12+d22+d32=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the projections of a line segment of length “ $d$ ” on the coordinate axes are $d_{1}, d_{2}, d_{3}$ respectively then $d_{1}^{2} + d_{2}^{2} + d_{3}^{2} =$