If the scalar product of two vectors A and B is 0, what can be said about the ve
Practice Questions
Q1
If the scalar product of two vectors A and B is 0, what can be said about the vectors?
They are parallel
They are orthogonal
They are equal
They are collinear
Questions & Step-by-Step Solutions
If the scalar product of two vectors A and B is 0, what can be said about the vectors?
Correct Answer: Vectors A and B are orthogonal.
Step 1: Understand what a scalar product (or dot product) is. It is a way to multiply two vectors to get a single number.
Step 2: Know that the scalar product of two vectors A and B is written as A · B.
Step 3: If A · B = 0, it means the result of the scalar product is zero.
Step 4: When the scalar product is zero, it indicates that the two vectors A and B are at a right angle (90 degrees) to each other.
Step 5: Vectors that are at a right angle to each other are called orthogonal.
Orthogonality – When the scalar (dot) product of two vectors is zero, it indicates that the vectors are orthogonal, meaning they are at right angles to each other.
