Start learning →

CUET UG Vector Algebra and 3D Geometry — practice questions — page 2

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.

Practise Vector Algebra and 3D Geometry with Quill →

Vector Algebra and 3D Geometry questions and exercises with answers

Showing questions 31–40 of 40.

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 →Where does a vector start, in the standard naming?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 →The additive identity for vectors is the:Read the answer and worked solution →Multiplying a vector by a scalar changes its:Read the answer and worked solution →Which of these is a scalar quantity?Read the answer and worked solution →

Worked practice questions

The vectors i, j and k each have magnitude:

  1. Zero
  2. Nine
  3. Four
  4. One
Show answer and solution

Correct answer: D. One

1. They mark the three coordinate directions. 2. Each is used purely to give direction. 3. Each has magnitude 1. 4. So the answer is one. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

Open this question →

The vectors i, j and k lie along which axes?

  1. x, y and z
  2. Only the x
  3. Only the y
  4. None of them
Show answer and solution

Correct answer: A. x, y and z

1. Three mutually perpendicular directions are needed in space. 2. Each unit vector takes one of them. 3. They lie along the x, y and z axes. 4. So the answer is x, y and z. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

Open this question →

A vector joining two points is found by applying the:

  1. Chain rule s
  2. Triangle law
  3. Quotient law
  4. Product rule
Show answer and solution

Correct answer: B. Triangle law

1. Join both points to the origin first. 2. The three vectors then form a triangle. 3. Applying the triangle law gives the joining vector. 4. So the answer is the triangle law. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

Open this question →

How to practise

  1. Choose a Vector Algebra and 3D Geometry question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Vector Algebra and 3D Geometry practice for CUET UG. Read explanations as you go. No signup form needed to start.

Practise Vector Algebra and 3D Geometry →

More Mathematics topics

Integrals and ApplicationsContinuity, Differentiability & DerivativesLinear ProgrammingDeterminantsMatrices and Determinants