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CUET UG Vector Algebra and 3D Geometry — practice questions

Explore 40 free Vector Algebra and 3D Geometry questions in CUET UG 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 1–30 of 40.

A quantity with magnitude as well as direction is a:Read the answer and worked solution →Which of these is a scalar quantity?Read the answer and worked solution →Which of these is a vector quantity?Read the answer and worked solution →A vector whose initial and terminal points coincide is the:Read the answer and worked solution →A vector of magnitude one is called a:Read the answer and worked solution →The distance between initial and terminal points is the vector's:Read the answer and worked solution →On a vector diagram, direction is shown by the:Read the answer and worked solution →The unit vector along a given vector is written with which symbol?Read the answer and worked solution →Adding vectors by completing a parallelogram is the:Read the answer and worked solution →Vector addition where order does not matter is called:Read the answer and worked solution →The additive identity for vectors is the:Read the answer and worked solution →The vectors i, j and k each have magnitude:Read the answer and worked solution →The vectors i, j and k lie along which axes?Read the answer and worked solution →A vector joining two points is found by applying the:Read the answer and worked solution →A directed line segment has magnitude and:Read the answer and worked solution →The girl's net movement from A to C is represented by a:Read the answer and worked solution →Where does a vector start, in the standard naming?Read the answer and worked solution →Multiplying a vector by a scalar changes its:Read the answer and worked solution →Which quantity in this list is NOT a vector?Read the answer and worked solution →A unit vector is mainly used to show a vector's:Read the answer and worked solution →Which of these is a vector quantity?Read the answer and worked solution →The girl's net movement from A to C is represented by a:Read the answer and worked solution →A quantity with magnitude as well as direction is a:Read the answer and worked solution →The distance between initial and terminal points is the vector's:Read the answer and worked solution →A vector whose initial and terminal points coincide is the:Read the answer and worked solution →On a vector diagram, direction is shown by the:Read the answer and worked solution →A vector of magnitude one is called a:Read the answer and worked solution →The unit vector along a given vector is written with which symbol?Read the answer and worked solution →Adding vectors by completing a parallelogram is the:Read the answer and worked solution →Vector addition where order does not matter is called:Read the answer and worked solution →

Worked practice questions

A quantity with magnitude as well as direction is a:

  1. Vector
  2. Scalar
  3. Matrix
  4. Number
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Correct answer: A. Vector

1. Some quantities need only a size to describe them. 2. Others need a direction as well. 3. A quantity with magnitude and direction is a vector. 4. So the answer is a vector. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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Which of these is a scalar quantity?

  1. Momen
  2. Mass
  3. Force
  4. Weight
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Correct answer: B. Mass

1. Force, weight and momentum all point somewhere. 2. Mass has size but no direction. 3. So mass is a scalar quantity. 4. The answer is mass. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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Which of these is a vector quantity?

  1. Time span
  2. Mass unit
  3. Velocity
  4. Distance
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Correct answer: C. Velocity

1. Scalars listed include length, mass and time. 2. Vectors include displacement and velocity. 3. So velocity is a vector quantity. 4. The answer is velocity. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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