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If $\vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k}$ and $\vec{B} = - \hat{i} + 3 \hat{j} + 4 \hat{k}$ , then projection of $\vec{A}$ on $\vec{B}$ will be:

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Correct option is B

|A→|=22+32+(−1)2=4+9+1=14 |B→|=(−1)2+32+42=1+9+16=26A→⋅B→=2(−1)+3×3+(−1)(4)=3The projection of A→ on B→=A→⋅B→|B→|=326

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If A→=2i^+3j^−k^ and B→=−i^+3j^+4k^ , then projection of A→ on B→ will be:

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If $\vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k}$ and $\vec{B} = - \hat{i} + 3 \hat{j} + 4 \hat{k}$ , then projection of $\vec{A}$ on $\vec{B}$ will be: