The scalar product of two unit vectors is 0. What can be inferred about these ve

Practice Questions

Q1
The scalar product of two unit vectors is 0. What can be inferred about these vectors?
  1. They are parallel
  2. They are orthogonal
  3. They are collinear
  4. They are equal

Questions & Step-by-Step Solutions

The scalar product of two unit vectors is 0. What can be inferred about these vectors?
  • Step 1: Understand what a unit vector is. A unit vector is a vector that has a length of 1.
  • Step 2: Know what the scalar product (or dot product) of two vectors is. It is a way to multiply two vectors to get a number.
  • Step 3: Remember that if the scalar product of two vectors is 0, it means they are perpendicular to each other.
  • Step 4: Since the question states that the scalar product of the two unit vectors is 0, we can conclude that these vectors are perpendicular.
  • Step 5: Therefore, we can say that the two unit vectors are orthogonal.
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