MCQ
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is
  • A
    $2$
  • B
    $\sqrt {14} $
  • $\sqrt {10} $
  • D
    $\sqrt 5 $

Answer

Correct option: C.
$\sqrt {10} $
c
(c) $\vec R = 3\hat i + \hat j + 2\hat k$

Length in $XY$ plane = $\sqrt {R_x^2 + R_y^2} = \sqrt {{3^2} + {1^2}} $$ = \sqrt {10} $

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