Tap every statement true of the scalar product
Exercise and reference answers
- Questions
- Items
- Text
- Written a · b
- Matches the category
- Yes
- Text
- Equals |a||b| cos θ
- Matches the category
- Yes
- Text
- Gives a number
- Matches the category
- Yes
- Text
- Gives a vector perpendicular to both
- Matches the category
- No
- Text
- Uses sin θ
- Matches the category
- No
- Category
- True of the SCALAR (dot) product
- Items
- Text
- Written a × b
- Matches the category
- Yes
- Text
- Uses sin θ
- Matches the category
- Yes
- Text
- Points perpendicular to the plane of a and b
- Matches the category
- Yes
- Text
- Gives a plain number
- Matches the category
- No
- Text
- Uses cos θ
- Matches the category
- No
- Category
- True of the CROSS product
Explanation
The dot product is defined by |a||b| cos θ, and it is the tool for finding angles. Source: syllabus Maths Part II, Ch 10 Vector Algebra.
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