Let's go through each statement one by one and determine whether it is
True or
False, correcting any false statements as instructed.
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1. A vector is composed of a magnitude and direction.
✔ True
Vectors have both magnitude (size) and direction. This is the definition of a vector.
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2. Mass is a vector and weight is a scalar.
✘ False
Underline:
"Mass is a vector and weight is a scalar"
Correct answer:
Mass is a scalar and weight is a vector.
- Mass has only magnitude (e.g., 5 kg), so it's a scalar.
- Weight is the force due to gravity, which has both magnitude and direction (downward), so it's a vector.
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3. Parallel vectors are opposite to each other.
✘ False
Underline:
"opposite to each other"
Correct answer:
in the same direction or in opposite directions
Parallel vectors can be in the same direction (parallel) or opposite directions (antiparallel). "Opposite" is too restrictive — not all parallel vectors are opposite.
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4. Physics uses scalars and vectors to describe motion.
✔ True
Scalars (like speed, distance) and vectors (like velocity, displacement) are both essential in describing motion.
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5. The notation \(\vec{H}_{AB}\) refers to a vector from point A to point B.
✔ True
The notation \(\vec{H}_{AB}\) typically means a vector starting at point A and ending at point B.
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6. The vectors \(\vec{H}_{AB}\) and \(\vec{H}_{BA}\) are antiparallel.
✔ True
\(\vec{H}_{AB}\) goes from A to B; \(\vec{H}_{BA}\) goes from B to A — they are equal in magnitude but opposite in direction → antiparallel.
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7. The rhomboid method is used to add two vectors.
✔ True
The rhomboid (or parallelogram) method is a graphical technique for adding two vectors by forming a parallelogram and drawing the diagonal as the resultant.
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8. A resultant vector is the sum of multiple vectors.
✔ True
The resultant vector is the vector sum of two or more vectors.
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9. A vector multiplied by a scalar is a scalar quantity.
✘ False
Underline:
"scalar quantity"
Correct answer:
vector quantity
When a vector is multiplied by a scalar, the result is still a vector (same direction if scalar positive, opposite if negative; magnitude scaled).
Example: \( 3 \times \vec{v} = \vec{w} \) → still a vector.
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10. The notation \(|\hat{a}|\) refers to the magnitude of vector \(\hat{a}\).
✔ True
The vertical bars \(|\cdot|\) denote magnitude. So \(|\hat{a}|\) is the magnitude of the vector \(\hat{a}\). Note: \(\hat{a}\) usually denotes a unit vector, but its magnitude is still 1.
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✔ Final Answers:
1.
True
2.
False – Underline: *Mass is a vector and weight is a scalar* → Correct:
Mass is a scalar and weight is a vector
3.
False – Underline: *opposite to each other* → Correct:
in the same direction or in opposite directions
4.
True
5.
True
6.
True
7.
True
8.
True
9.
False – Underline: *scalar quantity* → Correct:
vector quantity
10.
True
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Parent Tip: Review the logic above to help your child master the concept of physics vectors worksheet.
