Mathematics Part-II

Book: Mathematics Part-II

Chapter: 10. Vector Algebra

Subject: Maths - Class 12th

Q. No. 14 of Miscellaneous Exercise

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14

If are mutually perpendicular vectors of equal magnitudes, show that the vector is equally inclined to and

Given: vectors are mutually perpendicular to each other and are of equal magnitude.



And


Let the vector be inclined to at angles α, β and γ respectively.


Then, we have











From (1), (2) and (3)


As


Hence,



Hence, the vector are equal inclined to .


14

Chapter Exercises

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4

If , then is it true that ? Justify your answer.