PRACTICE SHEET # 02 - A (SCALARS AND VECTORS)
Which of the following is a scalar quantity?
a. Density b. Displacement c. Torque d. Weight
1. Which of the following is the only vector quantity?
a. Temperature b. Energy c. Power d. Momentum
2. Which of the following lists of physical quantities consists only of vectors:
a. Time, temperature, velocity b. Force, volume, momentum
c. Velocity, acceleration, mass d. Force, acceleration, velocity
3. If the dot product of two non-zero vectors vanishes, the vectors will be:
a. In the same direction b. Opposite to each other
c. Perpendicular to each other d. Zero
4. The dot product of two vectors is negative when:
a. They are parallel vectors b. They are anti-parallel vectors
c. They are perpendicular vectors d. None of the above is correct
5. The vector product of two non-zero vectors is zero, when:
a. They are parallel to each other
b. They are perpendicular to each other
c. They are equal vectors
d. They are inclined at angle of 60o
6. If (⃗⃗⃗𝐚 × ⃗⃗⃗𝐛) points along positive z-axis, then the vectors ⃗⃗⃗𝐚 and ⃗⃗⃗𝐛 must lie in:
a. yz-plane b. zx-plane c. xy-plane d. None of the above
7. Identify the vector quantity:
a. Head b. Angular momentum c. Time d. Work
8. Which of the following quantities is a scalar?
a. Magnetic moment b. Acceleration due to gravity
c. Electric field d. Electrostatic potential
̂
9. The angle between two vectors –2𝐢̂ + 3𝐣̂ + 𝐤 and 𝐢̂ + 2𝐣̂ – 4𝐤 ̂ is:
a. 0o b. 90o c. 180o d. None of the above
10. The angle between 𝐀 and 𝐁 is θ The value of the triple product 𝐀 . ( 𝐁 × ⃗⃗⃗𝐀) is:
⃗⃗⃗ ⃗⃗⃗ ⃗⃗⃗ ⃗⃗⃗
a. A2B b. Zero c. A2B sin θ d. A2B Cos θ
11. The angle between two vectors –2𝐢̂ + 3𝐣̂ + 𝐤 ̂ and −𝟒𝐢̂ + 6𝐣̂ + 2𝐤 ̂ is:
a. 0 o b. 90 o c. 180 o d. None of the above
̂ ̂
12. The angle between two vectors 𝐢̂ + 𝐣̂ + 𝐤 and −𝐢̂ − 𝐣̂ – 𝐤 is:
a. 0o b. 90o c. 180o d. None of the above
̂
13. The angle between two vectors 2𝐢̂ + 3𝐣̂ + 4𝐤 and 8𝐢̂ + 12𝐣̂ + 16𝐤 is:̂
a. 0o b. 90o c. 180o d. None of the above
14. Which of the following is a scalar quantity?
a. Displacement b. Electric field c. Acceleration d. Work
15. Which of the following quantities is a vector?
a. Volume b. Temperature c. Displacement d. Density
16. The scalar product of two vectors is 𝟐√𝟑 and the magnitude of their vector product is 2. The angle between
them is:
a. 30° b. 45° c. 60° d. 90°
17. Surface area is:
a. Scalar b. Vector
c. Neither scalar nor vector d. Both scalar and vector
18. Dot product of two mutual perpendicular vector is:
FROM THE DESK OF: ENGR. M. BILAL ZIA
Which of the following is a scalar quantity?
a. Density b. Displacement c. Torque d. Weight
1. Which of the following is the only vector quantity?
a. Temperature b. Energy c. Power d. Momentum
2. Which of the following lists of physical quantities consists only of vectors:
a. Time, temperature, velocity b. Force, volume, momentum
c. Velocity, acceleration, mass d. Force, acceleration, velocity
3. If the dot product of two non-zero vectors vanishes, the vectors will be:
a. In the same direction b. Opposite to each other
c. Perpendicular to each other d. Zero
4. The dot product of two vectors is negative when:
a. They are parallel vectors b. They are anti-parallel vectors
c. They are perpendicular vectors d. None of the above is correct
5. The vector product of two non-zero vectors is zero, when:
a. They are parallel to each other
b. They are perpendicular to each other
c. They are equal vectors
d. They are inclined at angle of 60o
6. If (⃗⃗⃗𝐚 × ⃗⃗⃗𝐛) points along positive z-axis, then the vectors ⃗⃗⃗𝐚 and ⃗⃗⃗𝐛 must lie in:
a. yz-plane b. zx-plane c. xy-plane d. None of the above
7. Identify the vector quantity:
a. Head b. Angular momentum c. Time d. Work
8. Which of the following quantities is a scalar?
a. Magnetic moment b. Acceleration due to gravity
c. Electric field d. Electrostatic potential
̂
9. The angle between two vectors –2𝐢̂ + 3𝐣̂ + 𝐤 and 𝐢̂ + 2𝐣̂ – 4𝐤 ̂ is:
a. 0o b. 90o c. 180o d. None of the above
10. The angle between 𝐀 and 𝐁 is θ The value of the triple product 𝐀 . ( 𝐁 × ⃗⃗⃗𝐀) is:
⃗⃗⃗ ⃗⃗⃗ ⃗⃗⃗ ⃗⃗⃗
a. A2B b. Zero c. A2B sin θ d. A2B Cos θ
11. The angle between two vectors –2𝐢̂ + 3𝐣̂ + 𝐤 ̂ and −𝟒𝐢̂ + 6𝐣̂ + 2𝐤 ̂ is:
a. 0 o b. 90 o c. 180 o d. None of the above
̂ ̂
12. The angle between two vectors 𝐢̂ + 𝐣̂ + 𝐤 and −𝐢̂ − 𝐣̂ – 𝐤 is:
a. 0o b. 90o c. 180o d. None of the above
̂
13. The angle between two vectors 2𝐢̂ + 3𝐣̂ + 4𝐤 and 8𝐢̂ + 12𝐣̂ + 16𝐤 is:̂
a. 0o b. 90o c. 180o d. None of the above
14. Which of the following is a scalar quantity?
a. Displacement b. Electric field c. Acceleration d. Work
15. Which of the following quantities is a vector?
a. Volume b. Temperature c. Displacement d. Density
16. The scalar product of two vectors is 𝟐√𝟑 and the magnitude of their vector product is 2. The angle between
them is:
a. 30° b. 45° c. 60° d. 90°
17. Surface area is:
a. Scalar b. Vector
c. Neither scalar nor vector d. Both scalar and vector
18. Dot product of two mutual perpendicular vector is:
FROM THE DESK OF: ENGR. M. BILAL ZIA
