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Vectors — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsVectors2 Marks
MCQ
The value of $(\hat{i}+\hat{j}) \cdot[(\hat{j}+\hat{k}) \times(\hat{k}+\hat{i})]$ is
  • A
    $0$
  • B
    1
  • C
    $-1$
  • ✓
    2
✓

Answer

Correct option: D.
2
(D) $(\hat{i}+\hat{j}) \cdot[(\hat{j}+\hat{k}) \times(\hat{k}+\hat{i})]$
$=\left|\begin{array}{lll}1 & 1 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1\end{array}\right|$
$=1(1)-1(-1)=2$

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