An object flying in alr with velocity $(20 \hat{\mathrm{i}}+25 \hat{\mathrm{j}}-12 \hat{\mathrm{k}})$ suddenly breaks in two pleces whose masses are in the ratio $1: 5 .$ The smaller mass flies off with a velocity $(100 \hat{\mathrm{i}}+35 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}) .$ The velocity of larger piece will be
An object flying in alr with velocity $(20 \hat{\mathrm{i}}+25 \hat{\mathrm{j}}-12 \hat{\mathrm{k}})$ suddenly breaks in two pleces whose masses are in the ratio $1: 5 .$ The smaller mass flies off with a velocity $(100 \hat{\mathrm{i}}+35 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}) .$ The velocity of larger piece will be
- [NEET 2019]
- A
$4 \hat{\mathrm{i}}+23 \hat{\mathrm{j}}-16 \hat{\mathrm{k}}$
- B
$-100 \hat{\mathrm{i}}-35 \hat{\mathrm{j}}-8 \hat{\mathrm{k}} $
- C
$20 \hat{\mathrm{i}}+15 \hat{\mathrm{j}}-80 \hat{\mathrm{k}}$
- D
$-20 \hat{\mathrm{i}}-15 \hat{\mathrm{j}}-80 \hat{\mathrm{k}}$
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