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Scalar Or Dot Product — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsScalar Or Dot Product1 Mark
Question
The vector component of $\vec{\text{b}}$ perpendicular to $\vec{\text{a}}$ is:
  1. $\big(\vec{\text{b}}.\vec{\text{c}}\big)\vec{\text{a}}$
  2. $\frac{\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)}{|\vec{\text{a}}|^2}$
  3. $\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)$
  4. None of these
✓

Answer

  1. $\frac{\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)}{|\vec{\text{a}}|^2}$

Solution:

The vector component of $\vec{\text{b}}$ perpendicular to $\vec{\text{a}}$ is

$\frac{\vec{\text{a}}\times\big(\vec{\text{b}}\times\vec{\text{a}}\big)}{|\vec{\text{a}}|^2}$

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