Please help me with this problem.

Vector v = 2i - 3j

Step-by-step 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

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