Lesson Worksheet: The Vector Product of Two Vectors Physics

In this worksheet, we will practice calculating the vector product of two vectors using both the components of the vectors and the magnitudes of the two vectors and the angle between them.

Q1:

Consider the two vectors Rij=3+2 and Sij=5+8. Calculate RS×.

  • A1k
  • B1k
  • C14k
  • D34k
  • E14k

Q2:

Work out ji×.

  • Aj
  • Bi
  • Ci
  • Dk
  • Ek

Q3:

The diagram shows two vectors, C and D, in three-dimensional space. Both vectors lie in the 𝑥𝑦-plane. Each of the squares of the grid has a side length of 1. Calculate CD×.

  • A11.3k
  • B2.8k
  • C5.7k
  • D11.3k
  • E0k

Q4:

Consider the two vectors Aij=6+7 and Bij=12+4. Does AB× point in the positive 𝑧-direction or the negative 𝑧-direction?

  • AThepositive-direction𝑧
  • BThenegative-direction𝑧

Q5:

The diagram shows a rod r that can rotate around point P. A force F is applied to the end of the rod. Each of the squares of the grid has a side length equal to 1 m and 1 N. The torque on the rod is equal to the vector product of r and F. Calculate the magnitude of the torque on the rod.

Q6:

The diagram shows two vectors, A and B, in three-dimensional space. Both vectors lie in the 𝑥𝑦-plane. Each of the squares on the grid has a side length of 1. Calculate AB×.

  • A13k
  • B17k
  • C11k
  • D13k
  • E7k

Q7:

The diagram shows two vectors, A and B. Each of the grid squares in the diagram has a side length of 1. Calculate AB×.

  • A32k
  • B28k
  • C4k
  • D32k
  • E28k

Q8:

Two vectors, a and b, have the same length and are perpendicular to each other. The vector product of a and b has a magnitude of 9. What is the length of each vector?

Q9:

The diagram shows a rod with a length of 1.5 m that can rotate around point P. A force with a magnitude of 12 N is applied to the end of the rod. What is the magnitude of the torque applied to the rod?

Q10:

The diagram shows two vectors, A and B, in three-dimensional space. Both vectors lie in the 𝑥𝑦-plane. Each of the squares on the grid has a side length of 1. Calculate AB×.

  • A31k
  • B8k
  • C32k
  • D8k
  • E32k

This lesson includes 18 additional questions and 24 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.