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Indian Coast Guard Navik (Domestic) Vectors & 3D Geometry — practice questions

Explore 17 free Vectors & 3D Geometry questions in Indian Coast Guard Navik (Domestic) 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 1–17 of 17.

Complete the definition of slopeRead the answer and worked solution →True or false: slopeRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Order the steps: test three points for collinearityRead the answer and worked solution →Assertion and reasonRead 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 →Which test applies?Read the answer and worked solution →Flip and pair: condition with conclusionRead the answer and worked solution →Tap every statement true of slopeRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Complete the angle between two linesRead the answer and worked solution →True or false: using coordinatesRead the answer and worked solution →

Worked practice questions

Complete the definition of slope

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Missing parts
  1. Answer
    y
    Choices
    1. y
    2. x
    3. angle
  2. Answer
    x
    Choices
    1. x
    2. y
    3. slope
Complete the statement
The slope of a non-vertical line through (x₁,y₁) and (x₂,y₂) is the difference in {0} divided by the difference in {1}.
Slope is a ratio of differences, and it needs the line to be non-vertical. Source: syllabus Maths, Ch 9 Straight Lines.

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True or false: slope

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Questions
  1. Statement is true
    Yes
    Statement
    The slope of a horizontal line is zero.
  2. Statement is true
    Yes
    Statement
    The slope of a vertical line is undefined.
  3. Statement is true
    No
    Statement
    The slope of a vertical line is zero.
  4. Statement is true
    Yes
    Statement
    If a line makes angle α with the x-axis, its slope is tan α.
  5. Statement is true
    Yes
    Statement
    That formula fails when α is 90 degrees.
Horizontal and vertical lines are the two special cases. Source: syllabus Maths, Ch 9 Straight Lines.

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Zero slope, undefined slope, or neither?

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Items
  1. Item
    A horizontal line
    Category
    Slope is zero
  2. Item
    A line parallel to the x-axis
    Category
    Slope is zero
  3. Item
    A vertical line
    Category
    Slope is undefined
  4. Item
    A line parallel to the y-axis
    Category
    Slope is undefined
  5. Item
    A line at 45 degrees
    Category
    An ordinary slope
  6. Item
    A line rising gently
    Category
    An ordinary slope
Categories
  1. Item
    Slope is zero
  2. Item
    Slope is undefined
  3. Item
    An ordinary slope
The two special cases, set against ordinary lines. Source: syllabus Maths, Ch 9 Straight Lines.

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