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  4. Consider two vectors F 1=2 hat i +5 hat k and F 2=3 hat j +4 hat k The magnitude of the scalar product of these vectors is:

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

Motion in a Plane

Solution:

For the scalar product,
$F_{1} . F_{2}=(2 \hat{i}+5 \hat{k})(3 \hat{j}+4 \hat{k})$
$F _{1} \cdot F _{2}=20$