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Question
If the vectors `2hati - qhatj + 3hatk` and `4hati - 5hatj + 6hatk` are collinear, find q.
Sum
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Solution
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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Chapter 5: Vectors - Exercise 5.1 [Page 152]
