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What is the scalar product of the unit vectors i and j?
What is the scalar product of the unit vectors i and j?
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What is the scalar product of the unit vectors i and j?
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i · j = 0, since they are orthogonal.
Questions & Step-by-step Solutions
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Q: What is the scalar product of the unit vectors i and j?
Solution:
i · j = 0, since they are orthogonal.
Steps: 5
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Step 1: Understand what unit vectors i and j are. i is a vector pointing in the x-direction, and j is a vector pointing in the y-direction.
Step 2: Know that the scalar product (also called the dot product) measures how much two vectors point in the same direction.
Step 3: Recognize that i and j are orthogonal, meaning they are at a right angle (90 degrees) to each other.
Step 4: Remember that the scalar product of two orthogonal vectors is 0.
Step 5: Therefore, calculate the scalar product: i · j = 0.
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