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A particle moves `21m` along the vector `6hat(i)+2hat(j)+3hat(k)` , then `14 m` along the vector `3hat(i)-2hat(j)+6hat(k)`. Its total displacement (in meters) isA. `15hat(i)+2hat(j)+12hat(k)`B. `9hat(i)+12hat(k)`C. `9hat(i)+6hat(j)`D. `24hat(i)+2hat(j)+21hat(k)` |
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Answer» Correct Answer - D Total displacement `=21((6hat(i)+2hat(j)+3hat(k))/(7))+14((3hat(i)-2hat(j)+6hat(k))/(7))` `=18hat(i)+6hat(j)+9hat(k)+6hat(i)-4hat(j)+12hat(k)` `=(24hat(i)+2hat(j)+21hat(k))m` |
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