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Vectors — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsVectors2 Marks
MCQ
$[\bar{a} \bar{b} \bar{a} \times \bar{b}]$ is equal to
  • A
    $|\bar{a} \times \bar{b}|$
  • ✓
    $|\overline{ a } \times \overline{ b }|^2$
  • C
    $\overline{0}$
  • D
    None of these
✓

Answer

Correct option: B.
$|\overline{ a } \times \overline{ b }|^2$
(B) $\left[\begin{array}{lll}\overline{ a } & \overline{ b } & \overline{ a } \times \overline{ b }\end{array}\right]=\overline{ a } \cdot[\overline{ b } \times(\overline{ a } \times \overline{ b })]$
$=(\overline{ a } \times \overline{ b }) \cdot(\overline{ a } \times \overline{ b })$
$=|\overline{ a } \times \overline{ b }|^2$

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