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MP Board Class 12 (MPBSE) Vectors & 3D Geometry — practice questions — page 3

Explore 64 free Vectors & 3D Geometry questions in MP Board Class 12 (MPBSE) 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 61–64 of 64.

Sort each statement by which idea it describesRead the answer and worked solution →Match each vector termRead the answer and worked solution →Scalar or vector?Read the answer and worked solution →True or false: vectors and 3DRead the answer and worked solution →

Worked practice questions

Sort each statement by which idea it describes

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Items
  1. Item
    P(E ∩ F) ÷ P(F)
    Category
    Conditional probability
  2. Item
    Needs P(F) ≠ 0
    Category
    Conditional probability
  3. Item
    P(E|F) = P(E)
    Category
    Independence
  4. Item
    P(E ∩ F) = P(E)P(F)
    Category
    Independence
  5. Item
    Pairwise disjoint events
    Category
    Partition
  6. Item
    Their union is the whole sample space
    Category
    Partition
Categories
  1. Item
    Conditional probability
  2. Item
    Independence
  3. Item
    Partition
Three ideas that share notation and are constantly swapped. Source: syllabus Maths Part II, Ch 13 Probability.

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Match each vector term

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Matching pairs
  1. Left
    Zero vector
    Right
    Initial and terminal points coincide
  2. Left
    Unit vector
    Right
    A vector whose magnitude is exactly 1
  3. Left
    Collinear vectors
    Right
    Vectors that are parallel to one line
  4. Left
    Direction cosines
    Right
    Cosines of the angles with the axes
Instructions
Tap a term on the left, then tap what it means.
_Source: syllabus Maths Ch10 Vector Algebra, Chapter 10_

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Scalar or vector?

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Items
  1. Item
    Magnitude only
    Category
    Scalar
  2. Item
    Mass
    Category
    Scalar
  3. Item
    Dot product
    Category
    Scalar
  4. Item
    Has a direction
    Category
    Vector
  5. Item
    Displacement
    Category
    Vector
  6. Item
    Cross product
    Category
    Vector
Categories
  1. Item
    Scalar
  2. Item
    Vector
Instructions
Tap a quantity, then tap whether it is a scalar or a vector.
_Source: syllabus Maths Ch10 Vector Algebra, Chapter 10_

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