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Ijkijk(i^+j^-k^)⋅(i^-j^+k^) = ______. - Mathematics and Statistics

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Question

`(hat"i" + hat"j" - hat"k")*(hat"i" - hat"j" + hat"k")` = ______.

Options

  • `hat"i" - hat"j" - hat"k"`

  • 1

  • −1

  • `−hat"j" + hat"k"`

MCQ
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Solution

`(hat"i" + hat"j" - hat"k")*(hat"i" - hat"j" + hat"k")` = −1.

Explanation:

`(hat"i" + hat"j" - hat"k")*(hat"i" - hat"j" + hat"k")`

= 1 + 1 (−1) + (−1) (1)

= 1 − 1 − 1

= −1

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Chapter 1.5: Vectors and Three Dimensional Geometry - MCQ
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