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Standard XII

Physics

Vector Component

The vector co...

Question

The vector component of $\vec{b}$ perpendicular to $\vec{a}$ is
(a) $(\vec{b} . \vec{c}) \vec{a}$

(b) $\frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$

(c) $\vec{a} \times (\vec{b} \times \vec{a})$

(d) None of these

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Solution

(b) $\frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$

$The vector component of \vec{b} perpendicular to \vec{a} is \frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$

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The vector component of b →perpendicular to a →is (a) b →.c →a → (b) a →× b →×a → a →2 (c) a →× b →×a → (d) None of these

(b) a →× b →×a → a →2 The vector component of b→ perpendicular to a→ isa→×b→×a→ a→2

The vector component of $\vec{b}$ perpendicular to $\vec{a}$ is
(a) $(\vec{b} . \vec{c}) \vec{a}$

(b) $\frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$

(c) $\vec{a} \times (\vec{b} \times \vec{a})$

(d) None of these

(b) $\frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$

$The vector component of \vec{b} perpendicular to \vec{a} is \frac{\vec{a} \times (\vec{b} \times \vec{a})}{{|\vec{a}|}^{2}}$