Consider two vectors F1→ = 2i^+5k^ and F2→ = 3j^+4k^. The magnitude of the scalar product of these vectors is

F1.→F2→ = 2j^+5k^3i^+4k^= 20

Consider two vectors F1→ = 2i^+5k^ and F2→ = 3j^+4k^. The magnitude of the scalar product of these vectors is

F1.→F2→ = 2j^+5k^3i^+4k^= 20

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Consider two vectors $\vec{F_{1}} = 2 \hat{i} + 5 \hat{k} and \vec{F_{2}} = 3 \hat{j} + 4 \hat{k} .$ The magnitude of the scalar product of these vectors is

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$5 \sqrt{33}$

answer is A.

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Detailed Solution

$\vec{F_{1} .} \vec{F_{2}} = (2 \hat{j} + 5 \hat{k}) (3 \hat{i} + 4 \hat{k})$

= 20

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Consider two vectors F1→ = 2i^+5k^ and F2→ = 3j^+4k^. The magnitude of the scalar product of these vectors is

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Consider two vectors $\vec{F_{1}} = 2 \hat{i} + 5 \hat{k} and \vec{F_{2}} = 3 \hat{j} + 4 \hat{k} .$ The magnitude of the scalar product of these vectors is