The components of a vector \[\vec{a}\] along and perpendicular to a non-zero vector \[\vec{b}\] are

\[\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{a}} \right|}^{2}}} \right)\vec{b}\And \vec{a}+\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{a}} \right|}^{2}}} \right)\vec{b}\]

\[\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{b}} \right|}^{2}}} \right)\vec{b}\And \vec{a}-\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{b}} \right|}^{2}}} \right)\vec{b}\]

\[\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{a}} \right|}^{2}}} \right)\vec{a}-\left( \frac{\vec{a}.\vec{b}}{{{\left| {\vec{b}} \right|}^{2}}} \right)\vec{a}\]

The components of a vector \[\vec{a}\] along and perpendicular to a no

1.	The components of a vector \[\vec{a}\] along and perpendicular to a non-zero vector \[\vec{b}\] are
A.	\[\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{b}} \right\|}^{2}}} \right)\vec{b}\And \vec{a}-\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{b}} \right\|}^{2}}} \right)\vec{b}\]
B.	\[\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{a}} \right\|}^{2}}} \right)\vec{b}\And \vec{a}+\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{a}} \right\|}^{2}}} \right)\vec{b}\]
C.	\[\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{a}} \right\|}^{2}}} \right)\vec{a}-\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{b}} \right\|}^{2}}} \right)\vec{a}\]
D.	None of these
Answer» B. \[\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{a}} \right\|}^{2}}} \right)\vec{b}\And \vec{a}+\left( \frac{\vec{a}.\vec{b}}{{{\left\| {\vec{a}} \right\|}^{2}}} \right)\vec{b}\]

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