A synonym for vector quantity is _______\

time
speed
displacement
distance

displacement

A synonym for vector quantity is displacement.

To find a synonym for "vector quantity," we first need to understand what a vector quantity is. A vector quantity is a mathematical quantity that has both magnitude and direction. In other words, it is a measurement that not only tells us how much of something there is but also in which direction it is being measured.

Now let's consider the options provided: time, speed, displacement, and distance.

- Time is a scalar quantity as it only has magnitude (e.g., 5 seconds).
- Speed is also a scalar quantity, as it only tells us the magnitude of how fast an object is moving (e.g., 50 miles per hour).
- Displacement is indeed a synonym for vector quantity. It refers to the change in position of an object and includes both magnitude (the distance from the starting point to the ending point) and direction (the straight-line path connecting the two points).
- Distance, however, is a scalar quantity, not a vector quantity. Distance simply refers to the magnitude of how far an object has traveled, without considering direction.

So, the correct answer is displacement.