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Sort by what each formula gives you

Exercise and reference answers

Items
  1. Item
    cos θ = (a · b) ÷ (|a||b|)
    Category
    An angle
  2. Item
    √(x² + y² + z²)
    Category
    A magnitude
  3. Item
    |a||b| sin θ
    Category
    A magnitude
  4. Item
    a + b
    Category
    A new vector
  5. Item
    a × b
    Category
    A new vector
Categories
  1. Item
    An angle
  2. Item
    A magnitude
  3. Item
    A new vector

Explanation

Keeping the outputs straight is the whole trick of this chapter. Source: syllabus Maths Part II, Ch 10 Vector Algebra.
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