Question

$|\overline{p}|=2,|\overline{q}|=3$, then $\frac{|\overline{p}\times \overline{q}|}{\sin (\overline{p},\overline{q})}=$

• A. $6$
• B. $\frac{3}{2}$
• C. $\frac{2}{3}$
• D. $1$

Answer 1

The correct option is A $6$

$|\overline{p}\times \overline{q}|=|\overline{p}||\overline{q}|\sin (\overline{p},\overline{q})$

Thus, $\frac{|\overline{p}\times \overline{q}|}{\sin (\overline{p},\overline{q})}$
$=\frac{|\overline{p}||\overline{q}|sin(\overline{p},\overline{q})}{\sin (\overline{p},\overline{q})}$

$=|\overline{p}||\overline{q}|$

$=2\times 3$

$=6$