State the coordinates of a point whose position vector is as follows: (a) -4i + 8j (b) 6i - 7j
To determine the coordinates of a point given its position vector, we will consider the coefficients of the i and j terms.
a) For the position vector -4i + 8j:
The coefficient of i is -4, which represents the x-coordinate.
The coefficient of j is 8, which represents the y-coordinate.
Therefore, the coordinates of the point are (-4, 8).
b) For the position vector 6i - 7j:
The coefficient of i is 6, which represents the x-coordinate.
The coefficient of j is -7, which represents the y-coordinate.
Therefore, the coordinates of the point are (6, -7).