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If the vectors 2i^-qj^+3k^ and 4i^-5j^+6k^ are collinear, find q. - Mathematics and Statistics

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प्रश्न

If the vectors `2hati - qhatj + 3hatk` and `4hati - 5hatj + 6hatk` are collinear, find q.

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उत्तर

The vectors `2hati - qhatj + 3hatk` and `4hati - 5hatj + 6hatk` are collinear

∴ The coefficients of `hati, hatj, hatk` are proportional

∴ `2/4 = (-q)/-5 = 3/6`

∴ `q/5 = 1/2`

∴ q = `5/2`

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अध्याय 5: Vectors - Exercise 5.1 [पृष्ठ १५२]
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