JEE Exam  >  JEE Questions  >  If a and b are the position vectors of two po... Start Learning for Free
If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​
  • a)
    3b – 2a
  • b)
    3a – b
  • c)
    3a – 2b
  • d)
    3b – a
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If a and b are the position vectors of two points A and B and C is a p...
AC = 3AB
(c - a)= 3(b - a). (c - a)
          = 3b -3a
c= 3b--2a
View all questions of this test
Most Upvoted Answer
If a and b are the position vectors of two points A and B and C is a p...
Given information:

- Position vector of point A: a
- Position vector of point B: b
- Point C is on line AB produced such that AC = 3AB

To find:

- Position vector of point C

Solution:

Step 1: Find the vector AB

The vector AB is given by:

AB = b - a

Step 2: Find the vector AC

Since AC = 3AB, we can write:

AC = 3(b - a)

Step 3: Find the position vector of C

The position vector of C can be obtained by adding the vector AC to the position vector of A:

C = A + AC

Substituting the values of A and AC, we get:

C = a + 3(b - a)

Simplifying, we get:

C = 3b - 2a

Therefore, the position vector of point C is 3b - 2a.

Answer: Option A (3b - 2a)
Free Test
Community Answer
If a and b are the position vectors of two points A and B and C is a p...
Explore Courses for JEE exam
If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer?
Question Description
If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer?.
Solutions for If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If a and b are the position vectors of two points A and B and C is a point on AB produced such that AC = 3AB, then position vector of C will be​a)3b – 2ab)3a – bc)3a – 2bd)3b – aCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev