MCQ
Given : $\vec A\, = \,2\hat i\, + \,p\hat j\, + q\hat k$ and $\vec B\, = \,5\hat i\, + \,7\hat j\, + 3\hat k,$ if $\vec A\,||\,\vec B,$ then the values of $p$ and $q$ are, respectively
  • $\frac {14}{5}$ and $\frac {6}{5}$
  • B
    $\frac {14}{3}$ and $\frac {6}{5}$
  • C
    $\frac {6}{5}$ and $\frac {1}{3}$
  • D
    $\frac {3}{4}$ and $\frac {1}{4}$

Answer

Correct option: A.
$\frac {14}{5}$ and $\frac {6}{5}$
a
$\frac{2}{5}=\frac{p}{7}=\frac{q}{3}$

$\Rightarrow P=14 / 5 \, \&\, q=6 / 5$

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