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What is the scalar product of the unit vectors i and j?

Practice Questions

Q1
What is the scalar product of the unit vectors i and j?
  1. 1
  2. 0
  3. -1
  4. 2

Questions & Step-by-Step Solutions

What is the scalar product of the unit vectors i and j?
Correct Answer: 0
  • Step 1: Understand what unit vectors i and j are. i is a vector pointing in the x-direction, and j is a vector pointing in the y-direction.
  • Step 2: Know that the scalar product (also called the dot product) measures how much two vectors point in the same direction.
  • Step 3: Recognize that i and j are orthogonal, meaning they are at a right angle (90 degrees) to each other.
  • Step 4: Remember that the scalar product of two orthogonal vectors is 0.
  • Step 5: Therefore, calculate the scalar product: i · j = 0.
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