Question

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

• A. $6$
• B. $3/2$
• C. $2/3$
• D. $1$

Answer 1

Answer: (A)

$6$

We have given from the question

$\left|\overline{p}\right|=2$

$\left|\overline{q}\right|=3$

Now,

$\frac{\left|\overline{p}\times \overline{q}\right|}{\sin \left(\overline{p},\overline{q}\right)}=\frac{\left|\overline{p}\right|\left|\overline{q}\right|\sin \left(\overline{p},\overline{q}\right)}{\sin \left(\overline{p},\overline{q}\right)}=\left|\overline{p}\right|\left|\overline{q}\right|=6$

Hence, the option $A$ us the correct answer.