Home Maths Vector Algebra JEE Main 2025 Let + and be a vector such that and . T…
Maths Vector Algebra JEE Main 2025 Numeric Response
Published on: August 11, 2026

Let + and be a vector such that and . Then is equal to _______.

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Verified by Experts
The correct answer is:
128

(128)

Given Conditions:
The condition implies that

This indicates that is parallel to .
Expressing :
Calculate

Express :
Since is parallel to , let

Using the condition :
Compute

This simplifies to

Set , which gives .
Determine using :

Therefore,

Calculate :

Use the determinant form for the cross product:

Calculate the determinant:
For
For
For
Thus, .

Calculate the magnitude squared:

Find

Therefore, .

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