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

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Correct option is C

If d1,d2,d3are the projections of a line segment of length don the coordinate axes then d2=d12+d22+d32Therefore, d12+d22+ d32−d2=0

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If the projections of a line of length d on the coordinate axes are d1,d2, d3 respectively, thend12+d22+ d32−d2=

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Ready to Test Your Skills?

free study material

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