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

✕
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 11 > Mathematics > Introduction to Three Dimensional Geometry Worksheets

Free CBSE - Class 11 Mathematics - Introduction to Three Dimensional Geometry worksheets

Sample Worksheets

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

1.
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.
2.
Find the shortest distance between the lines $\vec{r} = (\hat{i} + 2\hat{j} + \hat{k}) + \lambda(\hat{i} - \hat{j} + \hat{k})$ and $\vec{r} = (2\hat{i} - \hat{j} - \hat{k}) + \mu(2\hat{i} + \hat{j} + 2\hat{k})$
3.
Find the shortest distance between the lines $\frac{x+1}{7} = \frac{y+1}{-6} = \frac{z+1}{1}$ and $\frac{x-3}{1} = \frac{y-5}{-2} = \frac{z-7}{1}$
4.
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 $\vec{r} = (4\hat{i} + 5\hat{j} + 6\hat{k}) + \mu(2\hat{i} + 3\hat{j} + \hat{k})$
5.
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 $\vec{r} = (s+1)\hat{i} + (2s-1)\hat{j} - (2s+1)\hat{k}$
6.
Find the angle between the lines whose direction ratios are $a, b, c$ and $b – c, c – a, a – b$.
7.
Find the equation of a line parallel to $x$-axis and passing through the origin.
8.
If the lines $\frac{x-1}{-3} = \frac{y-2}{2k} = \frac{z-3}{2}$ and $\frac{x-1}{3k} = \frac{y-1}{1} = \frac{z-6}{-5}$ are perpendicular, find the value of $k$.
9.
Find the shortest distance between lines $\vec{r} = (6\hat{i} + 2\hat{j} + 2\hat{k}) + \lambda(\hat{i} - 2\hat{j} + 2\hat{k})$ and $\vec{r} = (-4\hat{i} - \hat{k}) + \mu(3\hat{i} - 2\hat{j} - 2\hat{k})$.
10.
Find the vector equation of the line passing through the point (1, 2, – 4) and perpendicular to the two lines: $\frac{x-8}{3} = \frac{y+19}{-16} = \frac{z-10}{7}$ and $\frac{x-15}{3} = \frac{y-29}{8} = \frac{z-5}{-5}$.
Download Download this Worksheet
- OR -

Build a Custom CBSE - Class 11 Mathematics - Introduction to Three Dimensional Geometry worksheets

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

Chapters in CBSE - Class 11 Mathematics

Binomial Theorem Worksheet Complex Numbers Worksheet Conic Sections Worksheet Limits and Derivatives Worksheet Linear Inequalities Worksheet Mathematics Worksheet Permutations and Combinations Worksheet Probability Worksheet Relations and Functions Worksheet Sequences and Series Worksheet Sets Worksheet Statistics Worksheet Straight Lines Worksheet Trigonometric Functions Worksheet

Free Introduction to 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 11 Mathematics Introduction to Three Dimensional Geometry

Ajay Introduction to Three Dimensional Geometry in Delhi

+7

Ajay
(15)
Top Tutor
locationImg Hauz Khas, Delhi
9 yrs of Exp students 18 students
11 hrs of classes completed
rsIcon 700 per hour
IITian and Physics Expert for Boards, NEET and IIT-JEE
Online Classes Online Classes
Ritesh Sinha

I have been learning physics under Ajay sir's guidance, and it has been a great experience. What I appreciate most is that sir focus not only on theory but also on problem-solving techniques, which has helped me improve my confidence and performance in exams.

Skills: Mathematics , Physics
Book a FREE Demo
Swathi K.
(31)
superTutorSuper Tutor
locationImg Sector 43, Gurgaon
12 yrs of Exp students 5 students
1154 hrs of classes completed
rsIcon 600 per hour
Freelance tutor/trainer with an experience of 12yrs
Online Classes Online Classes
regularClasses Tutor's home
Elizabeth Alvares

I really liked the way she taught me the basics of Excel. The more questions I asked, the more patient she was in explaining things clearly. I had a great time learning and was able to understand the topics well. Thank you, ma'am!

Skills: Mathematics , Accountancy and more
Book a FREE Demo
Eti G.
(20)
Top Tutor
locationImg Pandav Nagar, Ghaziabad
9 yrs of Exp students 1 student
22 hrs of classes completed
rsIcon 550 per hour
Mathematics is not about numbers, equation, computation, or algorithms it is about UNDERISTANDING.
regularClasses Tutor's home
Priyvrat

Best proper way of teaching. Every step teach properly. When mam teach once so not need of revision.

Skills: Mathematics
Book a FREE Demo
Mala R.
(165)
Top Tutor
locationImg Rajajinagar Mahaganapathi Nagar, Bangalore
15 yrs of Exp students 48 students
4498 hrs of classes completed
rsIcon 400 per hour
Professional GMAT, GRE & SAT Math trainer with 15 years of experience.
Online Classes Online Classes
regularClasses Tutor's home
Archana

Mala ma'am is genuinely an excellent teacher. I was under confident about the GRE Quant section before I started the course. The slides, practice tests, and review sheets are all tailored to the GRE, and she teaches every concept from the very beginning. Her teaching method is incredibly clear, and the study material is excellent.

Skills: Mathematics , Applied Mathematics
Book a FREE Demo
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 11 Worksheets by Subject

Accountancy Worksheet Arts / Humanities Worksheet Biology Worksheet Business Studies Worksheet Chemistry Worksheet Commerce Worksheet Economics Worksheet Entrepreneurship Worksheet Mathematics Worksheet Physics Worksheet Psychology 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.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