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JEE Main Three Dimensional Geometry — practice questions

Explore 28 free Three Dimensional Geometry questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Three Dimensional Geometry questions and exercises with answers

Showing questions 1–28 of 28.

A quantity that has only magnitude is called a:Read the answer and worked solution →A quantity with both magnitude and direction is a:Read the answer and worked solution →The point where a vector AB starts is called its:Read the answer and worked solution →The length of a vector is also called its:Read the answer and worked solution →The length of a vector can never be:Read the answer and worked solution →Cosines of the angles a vector makes with the axes are its:Read the answer and worked solution →Numbers proportional to the direction cosines are called:Read the answer and worked solution →A vector whose initial and terminal points coincide is a:Read the answer and worked solution →The zero vector cannot be given a definite:Read the answer and worked solution →A vector whose magnitude is one unit is called a:Read the answer and worked solution →Vectors sharing the same initial point are called:Read the answer and worked solution →Vectors parallel to the same line are called:Read the answer and worked solution →A vector equal in size but opposite in direction is the:Read the answer and worked solution →The relation AC = AB + BC states the:Read the answer and worked solution →Two vectors on adjacent sides of a parallelogram add along the:Read the answer and worked solution →The triangle law and the parallelogram law of addition are:Read the answer and worked solution →Vectors that may be shifted parallel without change are called:Read the answer and worked solution →The dot product of two vectors returns a:Read the answer and worked solution →The vector product of two vectors gives a:Read the answer and worked solution →Two nonzero vectors have a scalar product of zero when they are:Read the answer and worked solution →Match each vector to its meaningRead the answer and worked solution →Scalar or vectorRead the answer and worked solution →True or false on vector algebraRead the answer and worked solution →Which product is itRead the answer and worked solution →Quick picks on vectorsRead the answer and worked solution →Build a vector from a pointRead 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

A quantity that has only magnitude is called a:

  1. Scalar
  2. Vector
  3. Bearing
  4. Segment
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Correct answer: A. Scalar

1. A quantity that involves only one value, its magnitude, is a scalar. 2. Length, mass, time and speed are all of this kind. 3. A vector would need a direction as well, so it is ruled out. _Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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A quantity with both magnitude and direction is a:

  1. Modulus
  2. Vector
  3. Scalar
  4. Ratio
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Correct answer: B. Vector

1. A vector is defined as a quantity having magnitude and direction. 2. A scalar carries a magnitude alone, so it does not fit. 3. Force and velocity are everyday examples of vectors. _Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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The point where a vector AB starts is called its:

  1. Middle point
  2. Turning point
  3. Initial point
  4. Terminal point
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Correct answer: C. Initial point

1. The point A from where the vector starts is its initial point. 2. The point B where it ends is the terminal point. 3. So the starting end is named the initial point. _Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._

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