The value of non-zero scalars α and β for all vectors \( a\) and \( b\) , such that \( α(2 a- b )+β( a + 2 b)=8 b - a \) is:

The value of non-zero scalars α... - Solved

Question 48

Mathematics Scalar and Vector Products Hard

The value of non-zero scalars α and β for all vectors \(\vec a\) and \(\vec b\), such that \(\rm \alpha\left(2\vec a-\vec b \right)+\beta\left(\vec a + 2\vec b\right)=8\vec b - \vec a \) is:

(A) α = 2, β = 1

(B) α = -2, β = -3

(C) α = 1, β = 3

(D) α = -2, β = 3

✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is D. Practice regular variations of this Scalar and Vector Products concept to build speed and accuracy.

Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →

Question 48

📘 Step-by-Step Solution & Detailed Explanation:

Practice Similar Scalar and Vector Products Questions

Prepare for NIMCET Under Real Exam Conditions