The scalar product of two unit vectors is 0. What can be said about these vectors?
Correct Answer: Vectors are orthogonal.
- 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 single 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, it means these vectors are at a right angle to each other.
- Step 5: Conclude that the two unit vectors are orthogonal, which is another way of saying they are perpendicular.
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