Home Maths Vector Algebra JEE Main 2023 If the points with position vectors are col…
Maths Vector Algebra JEE Main 2023 Single Correct MCQ
Published on: August 12, 2026

If the points with position vectors are collinear, then is equal to

A
36
B
25
C
49
D
16

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

The given position vectors can be written as

Also given that these three points are collinear.

Let us assume that the point B divides AB, BC in the ratio k : 1.

Since, A, B, C are collinear

On applying section formula for z co-ordinate we get,

Ratio =2:19

Now,

Now similarly,

Hence this is the correct option.

──────────────────────────────────────────────────────────────────────────────────────────

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.