Question

answer the following.

1. what is the only component of scalar quantities?
2. give three examples of scalar quantities.
3. what are the two components of vector quantities?
4. draw the resultant vector when the two vectors below are added together.
5. find the numerical value of the resultant vector in the diagram below.
6. does the order in which the vectors are added together affect the value of the resultant vector? explain.
7. give three examples of vector quantities.

Explanation:

1. Scalar quantities have only magnitude as they are single - valued and direction - less.
2. Common scalar quantities include temperature (e.g., 25°C), mass (e.g., 5 kg), and speed (e.g., 60 km/h).
3. Vector quantities have magnitude (size) and direction (e.g., 10 m/s to the north).
4. To draw the resultant vector when adding two vectors, use the head - to - tail method. Place the tail of the second vector at the head of the first vector, and then draw a vector from the tail of the first vector to the head of the second vector.
5. For two perpendicular vectors of magnitudes 3m and 4m, use the Pythagorean theorem $R=\sqrt{a^{2}+b^{2}}$, where $a = 3m$ and $b = 4m$. So $R=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}=5m$.
6. The order in which vectors are added does not affect the resultant vector because vector addition is commutative. Mathematically, $\vec{A}+\vec{B}=\vec{B}+\vec{A}$.
7. Examples of vector quantities are displacement (e.g., 10 m east), velocity (e.g., 20 m/s at 30° north of east), and force (e.g., 50 N downward).

Answer:

1. Magnitude
2. Temperature, mass, speed
3. Magnitude and direction
4. Use head - to - tail method to draw
5. 5m
6. No, because vector addition is commutative.
7. Displacement, velocity, force