Final answer:
The velocity of point B relative to point A is option 1) 3i + 4j.
Step-by-step explanation:
When determining the velocity of point B relative to point A, you're essentially finding the difference between the velocities of B and A. In vector notation, this is achieved by subtracting the velocity of A from the velocity of B. If the velocity of A is denoted as V_A and the velocity of B as V_B, then the relative velocity V_BA is calculated as V_B - V_A.
In this case, if the velocity of point A is zero (assuming it to be at rest), the velocity of point B relative to point A would simply be the velocity of point B itself. Given as 3i + 4j, this vector represents the velocity of point B with respect to a stationary point A. The 'i' component denotes the horizontal velocity (along the x-axis) and the 'j' component denotes the vertical velocity (along the y-axis).
Each component of the vector (3i + 4j) signifies the magnitude and direction of the velocity in the x and y directions respectively. '3i' means a velocity of 3 units in the positive x-direction, and '4j' means a velocity of 4 units in the positive y-direction. Therefore, the resulting velocity of point B relative to point A is 3i + 4j.