Question

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

Answer 1

`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`