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Find a vector in the direction of a¯=i^-2j^ that has magnitude 7 units. - Mathematics and Statistics

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Question

Find a vector in the direction of `bara = hati - 2hatj` that has magnitude 7 units.

Sum
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Solution

`bara = hati - 2hatj`

`therefore |bara| = sqrt(1^2 + (- 2)^2) = sqrt5`

Unit vector in direction of `bara = hata = bara/|bara|`

= `(hati - 2hatj)/sqrt5`

∴ Vector of magnitude 7 in the direction of `bara = 7hata`

= `7((hati - 2hatj)/sqrt5)`

= `7/sqrt5 hati - 14/sqrt5 hatj`

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Chapter 5: Vectors - Exercise 5.1 [Page 151]
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