Answer:
Vector v = 2i - 3j
Explanation:
The form of a vector with i and j is v = xi + yj
To find a vector from its initial point (a , b) and terminal point (c , d) subtract the coordinates of the initial point from the coordinates of the terminal point
The vector is (c - a , d - b)
∵ The initial point of the vector v is P = (2 , 1)
∵ The terminal point of the vector v is Q = (4 , -2)
∴ Vector v = PQ
- Subtract the coordinates of P from the coordinates of Q
∵ PQ = Q - P
∴ PQ = (4 - 2 , -2 - 1)
∴ PQ = (2 , -3)
- Write it in the form of xi + yj
∴ Vector v = 2i + -3j
∴ Vector v = 2i - 3j