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The scalar product of two unit vectors is 0. What can be said about these vector
The scalar product of two unit vectors is 0. What can be said about these vectors?
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Practice Questions
1 question
Q1
The scalar product of two unit vectors is 0. What can be said about these vectors?
They are parallel
They are orthogonal
They are collinear
They are equal
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If the scalar product is 0, the vectors are orthogonal.
Questions & Step-by-step Solutions
1 item
Q
Q: The scalar product of two unit vectors is 0. What can be said about these vectors?
Solution:
If the scalar product is 0, the vectors are orthogonal.
Steps: 5
Show Steps
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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