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3.1 vectors — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.1 vectors1 Mark
MCQ
When vector $\overrightarrow{ A }=2 \hat{ i }+3 \hat{ j }+2 \hat{ k }$ is subtracted from vector $\vec{B}$, it gives a vector equal to $2 \hat{j}$. Then the magnitude of vector $\vec{B}$ will be:
  • A
    $\sqrt{13}$
  • ✓
    $\sqrt{33}$
  • C
    $\sqrt{6}$
  • D
    $\sqrt{5}$
✓

Answer

Correct option: B.
$\sqrt{33}$
b
$\overrightarrow{ B }-\overrightarrow{ A }=2 j$

$\overrightarrow{ B }=2 \hat{ i }+5 \hat{ j }+2 \hat{ k }$

$|\overrightarrow{ B }|=\sqrt{33}$

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