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The velocity of a boat ralative to water is $3i+4j$ and that of water relative to earth is $i-3j$, the velocity of the boat relative to the earth is:

1. $3i+4j$
2. $4i+j$
3. $4j+i$
4. $i+4j$

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Option B. 4i + j

$V_{BE}$ = $V_{BW}$ + $V_{WE}$

= (3i + 4j) + (i – 3j)

= 4i + j

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