UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕
Loading Spinner
true
Worksheet Homepage
Worksheet Icon

Free CBSE Worksheets

Get a custom worksheet to practice!

Board

subject

Select a Class

Please select another category

Select Chapter(s)

Chapters & Subtopics

Advanced»

Select type of questions

Select the length of worksheet

Questions (5 to 100)

No of questions have to be between 5 to 100

CBSE - Class 12 > Mathematics > Three Dimensional Geometry Worksheets

Free CBSE - Class 12 Mathematics - Three Dimensional Geometry worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
Find the angle between the following pair of lines: (i) $\frac{x-2}{2} = \frac{y-1}{5} = \frac{z+3}{-3}$ and $\frac{x+2}{-1} = \frac{y-4}{8} = \frac{z-5}{4}$
2.
Find the angle between the following pair of lines: (ii) $\frac{x}{2} = \frac{y}{2} = \frac{z}{1}$ and $\frac{x-5}{4} = \frac{y-2}{1} = \frac{z-3}{8}$
3.
Find the values of $p$ so that the lines $\frac{1-x}{3} = \frac{7y-14}{2p} = \frac{z-3}{2}$ and $\frac{7-7x}{3p} = \frac{y-5}{1} = \frac{6-z}{5}$ are at right angles.
4.
Show that the lines $\frac{x-5}{7} = \frac{y+2}{-5} = \frac{z}{1}$ and $\frac{x}{1} = \frac{y}{2} = \frac{z}{3}$ are perpendicular to each other.
5.
Find the shortest distance between the lines $\vec{r} = (\hat{i} + 2\hat{j} + \hat{k}) + \lambda(\hat{i} - \hat{j} + \hat{k})$ and $\vec{r} = (2\hat{i} - \hat{j} - \hat{k}) + \mu(2\hat{i} + \hat{j} + 2\hat{k})$
6.
Find the shortest distance between the lines $\frac{x+1}{7} = \frac{y+1}{-6} = \frac{z+1}{1}$ and $\frac{x-3}{1} = \frac{y-5}{-2} = \frac{z-7}{1}$
7.
Find the shortest distance between the lines whose vector equations are $\vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(\hat{i} - 3\hat{j} + 2\hat{k})$ and $\vec{r} = (4\hat{i} + 5\hat{j} + 6\hat{k}) + \mu(2\hat{i} + 3\hat{j} + \hat{k})$
8.
Find the shortest distance between the lines whose vector equations are $\vec{r} = (1-t)\hat{i} + (t-2)\hat{j} + (3-2t)\hat{k}$ and $\vec{r} = (s+1)\hat{i} + (2s-1)\hat{j} - (2s+1)\hat{k}$
9.
Find the equation of the line which passes through the point $(1, 2, 3)$ and is parallel to the vector $3\hat{i} + 2\hat{j} - 2\hat{k}$.
10.
Find the equation of the line in vector and in cartesian form that passes through the point with position vector $2\hat{i} - \hat{j} + 4\hat{k}$ and is in the direction $\hat{i} + 2\hat{j} - \hat{k}$.
Download Download this Worksheet
- OR -

Build a Custom CBSE - Class 12 Mathematics - Three Dimensional Geometry worksheets

Download free printable Three Dimensional Geometry Worksheets to practice. With thousands of questions available, you can generate as many Three Dimensional Geometry Worksheets as you want.

Chapters in CBSE - Class 12 Mathematics

Application of Derivatives Worksheet Application of Integrals Worksheet Continuity and Differentiability Worksheet Determinants Worksheet Differential Equations Worksheet Integrals Worksheet Inverse Trigonometric Functions Worksheet Linear Programming Worksheet Matrices Worksheet Probability Worksheet Relations and Functions Worksheet Vector Algebra Worksheet

Free Three Dimensional Geometry Worksheets

Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance. Designed by experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner.

Check out our free customized worksheets across school boards, grades, subjects, and levels of subject knowledge. You can download, print, and share these worksheets with anyone, anywhere, anytime!

Top Tutors who teach CBSE - Class 12 Mathematics Three Dimensional Geometry

Suman Saurabh
(27)
Top Tutor
locationImg Laxmi Vihar, Hisar
4 yrs of Exp students 11 students
267 hrs of classes completed
rsIcon 800 per hour
A mathematics enthusiast, B.Sc. (Maths), M.Sc (Pure Maths) PhD Maths (Pursuing).
Online Classes Online Classes
Skills: Mathematics
Book a FREE Demo
Sini J.
(22)
Top Tutor
locationImg Choolissery, Thrissur
20 yrs of Exp students 1 student
392 hrs of classes completed
rsIcon 600 per hour
professional teacher with more than 20 years of experience. I have MSc and B. Ed in mathematics.
Online Classes Online Classes
Veda R krishnan

Sini ma'am is an excellent maths teacher. I joined her classes at exactly the right time when I needed clarity, and she explained every concept in a very simple and structured way. Her teaching style made even difficult topics easy to understand, and my confidence in maths improved a lot in a short period. She is very patient, supportive, and genuinely cares about her students’ understanding. I’m really grateful for the guidance and clarity she gave me.

Skills: Mathematics , Statistics
Book a FREE Demo
Subhendu pradhan
(21)
Top Tutor
locationImg Netaji Nagar, Kolkata
10 yrs of Exp students 18 students
518 hrs of classes completed
rsIcon 400 per hour
Math & Stat teacher for class 11-12 with 10 years of experience
Online Classes Online Classes
Skills: Mathematics , Applied Mathematics and more
Book a FREE Demo
Debojit Sarkar
(18)
superTutorSuper Tutor
locationImg Parsudih, Jamshedpur
3 yrs of Exp students 29 students
2201 hrs of classes completed
rsIcon 500 per hour
Be the better version of yourself
Online Classes Online Classes
regularClasses Tutor's home
Aakarshan

Simply he is doing very well, and my child is also learning the things with great enthusiasm.Debojit sarkar ji is simply phenomenal

Skills: Mathematics , Physics
Book a FREE Demo

Top Concept Videos in Mathematics Three Dimensional Geometry

The Compass of Lines and Angles video thumbnail

The Compass of Lines and Angles

CBSE - Class 12>Mathematics>Three Dimensional Geometry

Provider Image
Saurav
(25)
Super TutorSuper Tutor
Explore all Three Dimensional Geometry concept videos
Worksheet
Worksheet Icon

Free CBSE Worksheets

Get a custom worksheet to practice!

Board

subject

Select a Class

Please select another category

Select Chapter(s)

Chapters & Subtopics

Advanced»

Select type of questions

Select the length of worksheet

Questions (5 to 100)

No of questions have to be between 5 to 100

Browse CBSE - Class 12 Worksheets by Subject

Accountancy Worksheet Arts / Humanities Worksheet Biology Worksheet Business Studies Worksheet Chemistry Worksheet Economics Worksheet Mathematics Worksheet Physics Worksheet

Class-wise Worksheets

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All
    UrbanPro UrbanPro Logo
  • Instagram
    Made in India. Made for you. India

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2026 All Rights Reserved