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JEE Main Vector Algebra and 3D Geometry — practice questions — page 3

Explore 126 free Vector Algebra and 3D Geometry 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 and 3D Geometry questions and exercises with answers

Showing questions 61–90 of 126.

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 →Spot the one that does not belongRead the answer and worked solution →Match each kind of vector to its definitionRead the answer and worked solution →True or false: vector vocabularyRead the answer and worked solution →Order the steps: angle between two lines from direction ratiosRead the answer and worked solution →Three vectors $\vec a, \vec b, \vec c$ are coplanar if and only if:Read the answer and worked solution →Does this produce a number or a vector?Read the answer and worked solution →Match each law to what it saysRead 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 →Tap every statement true of the cross productRead the answer and worked solution →Sort by what each formula gives youRead the answer and worked solution →Assertion and reason: productsRead the answer and worked solution →Complete the component-form rulesRead the answer and worked solution →Reading the vocabulary backRead the answer and worked solution →Complete the angle formulaRead the answer and worked solution →Which vectors are these?Read the answer and worked solution →Spot the odd one outRead the answer and worked solution →Match each vector termRead the answer and worked solution →

Worked practice questions

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
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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True or false: vectors and 3D

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Questions
  1. Statement is true
    Yes
    Statement
    A unit vector has magnitude one.
  2. Statement is true
    No
    Statement
    Two collinear vectors are always equal in magnitude.
  3. Statement is true
    No
    Statement
    Two vectors having the same magnitude must be collinear.
  4. Statement is true
    Yes
    Statement
    Skew lines are lines that never meet and are not parallel.
Instructions
Decide whether each statement is true or false.
_Source: syllabus Maths Ch11 Three Dimensional Geometry, THREE DIMENSIONAL GEOMETRY_

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