Question

If $\hat{i}+p\hat{j}+\hat{k},2\hat{i}+3\hat{j}+q\hat{k}$ are parallel vectors then $(p,q)=?$

• A. $(2,\frac{3}{2})$
• B. $(2,2)$
• C. $(\frac{3}{2},\frac{3}{2})$
• D. $(\frac{3}{2},2)$

Answer 1

The correct option is D $(\frac{3}{2},2)$

$(i+p\hat{j}+\hat{k})=k(2\hat{i}+3\hat{j}+q\hat{k})$
$2k=1as\hat{i},\hat{j}$ & $\hat{k}$ are non-linear
$k=\frac{1}{2}$
$3k=p$
$sop=\frac{3}{2}$
$kq=1$
$q=2$