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Scalar Or Dot Product — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSScalar Or Dot Product2 Marks
Question
If $|\vec{\text{a}}|=2,\big|\vec{\text{b}}\big|=3$ and $\vec{\text{a}}.\vec{\text{b}}=3,$ find the projection of $\vec{\text{b}}$ on $\vec{\text{a}}.$
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Answer

We have
$|\vec{\text{a}}|=2$ and $\vec{\text{a}}.\vec{\text{b}}=3$
So, the projection of $\vec{\text{b}}$ on $\vec{\text{a}}$ is
$\Big(\frac{​​\vec{\text{a}}.​​\vec{\text{b}}}{|\vec{\text{a}}|}\Big)$
$=\frac{3}{2}$

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