Answer:
The terminal point of 2u - v is (9 , 21) ⇒ 3rd answer
Step-by-step explanation:
The position vector is the vector whose starting point is the origin (0 , 0)
You can find it from its terminal point on it (a, b), the vector is <a - 0 , b - 0> = <a , b>
∵ u is a position vector with terminal point (6 , 14)
∴ u = <6 - 0 , 14 - 0>
∴ u = <6 , 14>
∵ v is a position vector with terminal point (3 , 7)
∴ v = <3 - 0 , 7 - 0>
∴ v = <3 , 7>
∵ 2u - v = 2<6 , 14> - <3 , 7>
- Multiply 6 and 14 by 2
∴ 2u - v = <12 , 28> - <3 , 7>
- Add subtract 3 from 12 and 7 from 28
∴ 2u - v = <9 , 21>
∴ The terminal point of 2u - v = (9 , 21)
