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If the position vector of point P is given by r = 2i + 3j + 4k, what is the x-co

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Question: If the position vector of point P is given by r = 2i + 3j + 4k, what is the x-component of r?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 2

Solution: 

The x-component of r is 2.

If the position vector of point P is given by r = 2i + 3j + 4k, what is the x-co

Practice Questions

Q1
If the position vector of point P is given by r = 2i + 3j + 4k, what is the x-component of r?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If the position vector of point P is given by r = 2i + 3j + 4k, what is the x-component of r?
  • Step 1: Understand that the position vector r is written in the form r = xi + yj + zk.
  • Step 2: Identify the components of the vector r. Here, r = 2i + 3j + 4k.
  • Step 3: Look for the x-component in the vector. The x-component is the number in front of 'i'.
  • Step 4: In this case, the number in front of 'i' is 2.
  • Step 5: Conclude that the x-component of r is 2.
  • Vector Components – Understanding how to extract individual components (x, y, z) from a position vector.
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