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JEE Main Vector Algebra — practice questions — page 2

Explore 34 free Vector Algebra questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vector Algebra questions and exercises with answers

Showing questions 31–34 of 34.

Internal or external divisionRead the answer and worked solution →Project a vector on a lineRead the answer and worked solution →Fill the gaps on vector algebraRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

Internal or external division

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Left
Internal
Items
  1. Item
    Between P and Q
    Answer
    Internal
  2. Item
    On the segment
    Answer
    Internal
  3. Item
    The midpoint
    Answer
    Internal
  4. Item
    Beyond Q
    Answer
    External
  5. Item
    Beyond P
    Answer
    External
  6. Item
    Off the segment
    Answer
    External
Right
External
Instructions
Swipe left for internal, right for external.
_Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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Project a vector on a line

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Steps
  1. Take the unit vector along the line
  2. Dot it with the vector
  3. Read the magnitude from the cosine
  4. Fix the sense from its sign
Instructions
Tap the steps in order.
_Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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Fill the gaps on vector algebra

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Missing parts
  1. Answer
    component
    Choices
    1. component
    2. polar
    3. scalar
  2. Answer
    commutative
    Choices
    1. commutative
    2. undefined
    3. zero
  3. Answer
    not
    Choices
    1. not
    2. always
    3. also
  4. Answer
    k
    Choices
    1. k
    2. i
    3. j
Complete the statement
x i plus y j plus z k is the {0} form. The dot product is {1}. The cross product is {2} commutative. i cross j equals {3}.
Instructions
Tap a word to drop it into the empty slot.
_Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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