<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}
\begin{document}

\parindent=0pt

QUESTION

If \textbf{a}=\textbf{i}+\textbf{j} and
\textbf{b}=\textbf{i}+\textbf{j}+\textbf{k} find the component of
\textbf{b} in the direction of \textbf{a}.

\bigskip

ANSWER


The component of \textbf{b} in direction of ${\bf a} ={\bf
b.}\hat{\bf a}$

 $\ds=(1,1,1).\frac{(1,1,0)}{\sqrt{2}}
=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}+0
=\frac{2}{\sqrt{2}}=\sqrt{2}$


\end{document}
</pre></body></html>