please check these:

which of the following is an example of a vector quantity?
a. velocity
b. temperature
c. volume
d. mass

i picked A

identify as vecor or scalar
1. speed of a snail---vector
2. the time it takes to run a mile-scal
3. the free-fall accleration---vector

3. multiplying or dividing vecors by scalars results in
a. vectors
b. scalars
c. vectors if multiplied scalar if divided
d. scalar if multiplied vector if divided

im not really sure on this one...

:)

speed, of a snail or otherwise, is a scalar. Add direction, and it is a vector.

Multiply, or to divide vectors is a little complicated.
ordinary multiplication or division results in a vector.
dot product results in a scalar
cross product results in a vector which is perpendicular to both of the original vectors.
ordinarily, plain multiplication and division is reserved for time dependent phasors, and for spacial vectors, multiplication is usually either dot or cross. However, this is not always the case, and one can do any math operation with vectors. This may be a little more advanced than you are ready for.

In response to your questions:

1. The speed of a snail is a scalar quantity, not a vector quantity. Speed only indicates how fast an object is moving, but it does not include the direction of the motion. Therefore, it is a scalar quantity.

2. The time it takes to run a mile is also a scalar quantity. Time is a scalar because it only represents the magnitude or amount of time taken, without considering any direction.

3. The free-fall acceleration is a vector quantity. It has both magnitude (9.8 m/s^2) and direction (towards the center of the Earth).

Regarding your question about multiplying or dividing vectors by scalars, the answer is:

- If you multiply a vector by a scalar, the result is still a vector. The magnitude of the vector will be multiplied by the scalar, while the direction remains the same.
- If you divide a vector by a scalar, the result is still a vector. The magnitude of the vector will be divided by the scalar, while the direction remains the same.

Therefore, the correct answer would be option A: vectors.

For the first question, you are correct. Velocity is an example of a vector quantity. To confirm this, you can look at the definition of a vector quantity. A vector quantity is a physical quantity that has both magnitude and direction. Velocity is the rate at which an object changes its position, and it includes both the magnitude (speed) and direction of the object's motion. Therefore, it is a vector quantity.

For the second question:
1. The speed of a snail is a scalar quantity. Speed only has magnitude but not direction. It indicates how fast an object is moving, but it does not specify the direction of its motion. So, it is a scalar quantity.

2. The time it takes to run a mile is also a scalar quantity. Time is a measure of duration and does not have a direction associated with it. Therefore, it is a scalar quantity.

3. The free-fall acceleration is a vector quantity. It is the acceleration experienced by an object in free fall due to gravity, and it has both magnitude (9.8 m/s^2) and direction (towards the Earth's surface). Therefore, it is a vector quantity.

For the third question, multiplying or dividing vectors by scalars results in another vector. When you multiply or divide a vector by a scalar, the result is another vector that has the same direction as the original vector but with a magnitude scaled by the scalar. So, the correct answer is:

c. Vectors if multiplied, scalar if divided.

I hope this clarifies your doubts! Let me know if you have any more questions.