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The projection of the vector $\vec{A} = \hat{i} - 2 \hat{j} + \hat{k} on the vector \vec{B} = 4 \hat{i} - 4 \hat{j} + 7 \hat{k} is$

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Correct option is A

Here, A→ = i^−2j^+k^B→ = 4i^−4j^+7k^The projection of A→ on B→ = AcosθAcosθ = ABcosθB = A→.B→B = (i^−2j^+k^).(4i^−4j^+7k^)42+(−4)2+(7)2=4+8+781=199

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The projection of the vector A→ = i^−2j^+k^ on the vector B→ = 4i^−4j^+7k^ is

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The projection of the vector $\vec{A} = \hat{i} - 2 \hat{j} + \hat{k} on the vector \vec{B} = 4 \hat{i} - 4 \hat{j} + 7 \hat{k} is$