If vectors A and B are perpendicular, then A · B equals:

₹0.0

Question: If vectors A and B are perpendicular, then A · B equals:

Options:

Correct Answer: 0

Solution:

If A and B are perpendicular, then by definition A · B = |A||B|cos(90°) = 0.

If vectors A and B are perpendicular, then A · B equals:

If vectors A and B are perpendicular, then A · B equals:

Step 1: Understand what perpendicular means. Two vectors are perpendicular if they meet at a right angle (90 degrees).
Step 2: Recall the formula for the dot product of two vectors A and B: A · B = |A||B|cos(θ), where θ is the angle between the vectors.
Step 3: Since A and B are perpendicular, the angle θ is 90 degrees.
Step 4: Find the cosine of 90 degrees. cos(90°) = 0.
Step 5: Substitute cos(90°) into the dot product formula: A · B = |A||B| * 0.
Step 6: Simplify the equation: A · B = 0.

Dot Product of Vectors – The dot product of two vectors A and B is calculated as A · B = |A||B|cos(θ), where θ is the angle between the vectors.
Perpendicular Vectors – Two vectors are perpendicular if the angle between them is 90 degrees, resulting in a dot product of zero.