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AAI Junior Executive (ATC) Vectors & 3D Geometry — practice questions

Explore 27 free Vectors & 3D Geometry questions in AAI Junior Executive (ATC) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vectors & 3D Geometry questions and exercises with answers

Showing questions 1–27 of 27.

Spot the wrong piece in each ruleRead the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: the multiplication ruleRead the answer and worked solution →True or false: the Historical NoteRead the answer and worked solution →Sort each statement by which idea it describesRead the answer and worked solution →

Worked practice questions

Spot the wrong piece in each rule

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Questions
  1. Statement parts
    1. A cross B
    2. equals
    3. plus
    4. B cross A
    Correction
    minus
    Incorrect part
    plus
  2. Statement parts
    1. A dot B
    2. at ninety degrees
    3. equals
    4. AB
    Correction
    zero
    Incorrect part
    AB
  3. Statement parts
    1. A minus B
    2. means
    3. A
    4. plus
    5. B
    Correction
    negative B
    Incorrect part
    B
  4. Statement parts
    1. Projection of A on B
    2. is
    3. A dot B
    4. over
    5. size of A
    Correction
    size of B
    Incorrect part
    size of A
Instructions
Each line states a rule about vectors with one piece wrong. Tap the piece that is wrong.
_Source: Qallery verified question bank, AAI Junior Executive Air Traffic Control, topic Vectors & 3D Geometry_

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Complete the definition of conditional probability

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Missing parts
  1. Answer
    P(F)
    Choices
    1. P(F)
    2. P(E)
    3. P(E ∪ F)
  2. Answer
    not zero
    Choices
    1. not zero
    2. equal to 1
    3. less than P(E)
  3. Answer
    0 and 1
    Choices
    1. 0 and 1
    2. −1 and 1
    3. 0 and P(F)
Complete the statement
P(E|F) is defined as P(E ∩ F) divided by {0}, and it is only defined when P(F) is {1}. Its value always lies between {2}.
The definition the whole chapter is built on, including the condition that makes it meaningful. Source: syllabus Maths Part II, Ch 13 Probability.

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True or false: conditional probability

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Questions
  1. Statement is true
    Yes
    Statement
    P(E|F) = P(E ∩ F) ÷ P(F), provided P(F) ≠ 0.
  2. Statement is true
    No
    Statement
    P(E|F) can be greater than 1.
  3. Statement is true
    Yes
    Statement
    P(E′|F) = 1 − P(E|F).
  4. Statement is true
    No
    Statement
    P(E|F) is defined even when P(F) = 0.
  5. Statement is true
    Yes
    Statement
    0 ≤ P(E|F) ≤ 1 always holds.
Each line is a summary bullet, quoted or bent. Source: syllabus Maths Part II, Ch 13 Probability.

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More Mathematics topics

ProbabilityBinomial TheoremCorrelation and RegressionGeometryLinear ProgrammingMeanMedianPermcomb