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If the angle between two vectors A and B is 90 degrees, what is A · B?

Practice Questions

Q1
If the angle between two vectors A and B is 90 degrees, what is A · B?
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Questions & Step-by-Step Solutions

If the angle between two vectors A and B is 90 degrees, what is A · B?
  • Step 1: Understand that A · B represents the dot product of two vectors A and B.
  • Step 2: Recall that the formula for the dot product is A · B = |A||B|cos(θ), where θ is the angle between the two vectors.
  • Step 3: In this case, the angle θ is given as 90 degrees.
  • Step 4: Know that the cosine of 90 degrees is 0 (cos(90°) = 0).
  • Step 5: Substitute the angle into the dot product formula: A · B = |A||B|cos(90°).
  • Step 6: This simplifies to A · B = |A||B| * 0.
  • Step 7: Since anything multiplied by 0 is 0, we conclude that A · B = 0.
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