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Which one of the following describes the relationship among the three vectors, î + ĵ + k̂, 2î + 3ĵ + k̂ and 5î + 6ĵ + 4k̂?
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- The vectors are mutually perpendicular
- The vectors are linearly dependent
- The vectors are linearly independent
- The vectors are unit vectors
Correct Option: B
Given vectors are
i + j + k, 2i + 3j + k and 5i + 6j + k
= 0 | ||||||
2 | 3 | 1 | ||||
5 | 6 | 1 |
∴ Vectors are linearly dependent.