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AP Intermediate 2nd Year Vector Algebra and 3D Geometry — practice questions — page 5

Explore 218 free Vector Algebra and 3D Geometry questions in AP Intermediate 2nd Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vector Algebra and 3D Geometry questions and exercises with answers

Showing questions 121–150 of 218.

The distance between initial and terminal points is the vector's:Read the answer and worked solution →Does this produce a number or a vector?Read the answer and worked solution →A vector whose initial and terminal points coincide is the:Read the answer and worked solution →On a vector diagram, direction is shown by the:Read the answer and worked solution →Complete the vector definitionRead the answer and worked solution →Vector algebra bingoRead the answer and worked solution →Match the vector termRead the answer and worked solution →Match each law to what it saysRead the answer and worked solution →A vector of magnitude one is called a:Read the answer and worked solution →The unit vector along a given vector is written with which symbol?Read the answer and worked solution →Adding vectors by completing a parallelogram is the:Read the answer and worked solution →Vector addition where order does not matter is called:Read the answer and worked solution →The vectors i, j and k each have magnitude:Read the answer and worked solution →The vectors i, j and k lie along which axes?Read the answer and worked solution →A vector joining two points is found by applying the:Read the answer and worked solution →A directed line segment has magnitude and:Read the answer and worked solution →Where does a vector start, in the standard naming?Read the answer and worked solution →Which quantity in this list is NOT a vector?Read the answer and worked solution →A unit vector is mainly used to show a vector's:Read the answer and worked solution →Order the steps: build a unit vector from a pointRead the answer and worked solution →Tap every statement true of the scalar productRead the answer and worked solution →Complete the definition of a unit vectorRead the answer and worked solution →The two productsRead the answer and worked solution →True or false: adding vectorsRead the answer and worked solution →Order the steps: find the angle between two vectorsRead the answer and worked solution →True or false: scalar multiplicationRead the answer and worked solution →True or false: the zero vectorRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Position vectors and magnitudeRead the answer and worked solution →

Worked practice questions

The distance between initial and terminal points is the vector's:

  1. Projection
  2. Magnitude
  3. Direction
  4. Component
Show answer and solution

Correct answer: B. Magnitude

1. A vector is drawn as a directed segment. 2. The length of that segment measures its size. 3. That length is the magnitude of the vector. 4. So the answer is the magnitude. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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Does this produce a number or a vector?

Read exercise and reference answers
Items
  1. Item
    a · b
    Category
    A number (scalar)
  2. Item
    |a|
    Category
    A number (scalar)
  3. Item
    a₁b₁ + a₂b₂ + a₃b₃
    Category
    A number (scalar)
  4. Item
    a × b
    Category
    A vector
  5. Item
    a + b
    Category
    A vector
  6. Item
    λa
    Category
    A vector
Categories
  1. Item
    A number (scalar)
  2. Item
    A vector
The scalar product returns a number the cross product returns a vector perpendicular to both. Getting this backwards is the most expensive mistake in the chapter. Source: syllabus Maths Part II, Ch 10 Vector Algebra.

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A vector whose initial and terminal points coincide is the:

  1. Unit vector
  2. Free vector
  3. Null matrix
  4. Zero vector
Show answer and solution

Correct answer: D. Zero vector

1. Such a vector goes nowhere at all. 2. Its length works out to nothing. 3. It is called the zero vector. 4. So the answer is the zero vector. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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