JEE Main 2026 — Vector Algebra Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
Let the vectors and . For some , let . If and , then is equal to:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given and .
The vector is given by:
Using the first condition :
Using the second condition :
Adding equation (1) and equation (2):
Substituting into equation (2):
Substituting the values of and back into :
The magnitude squared of is:
Answer:
The vector is given by:
Using the first condition :
Using the second condition :
Adding equation (1) and equation (2):
Substituting into equation (2):
Substituting the values of and back into :
The magnitude squared of is:
Answer:
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Vector Algebra chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2026, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.