Question 48

Mathematics Scalar and Vector Products Hard

The value of non-zero scalars&nbsp;&alpha; and&nbsp;&beta; for all vectors&nbsp;<span class="math-tex">\(\vec a\)</span>&nbsp;and&nbsp;<span class="math-tex">\(\vec b\)</span>,&nbsp;such that&nbsp;<span class="math-tex">\(\rm \alpha\left(2\vec a-\vec b \right)+\beta\left(\vec a + 2\vec b\right)=8\vec b - \vec a \)</span>&nbsp;is:

(A) &alpha; = 2,&nbsp;&beta; = 1
(B) &alpha; = -2,&nbsp;&beta; = -3
(C) &alpha; = 1,&nbsp;&beta; = 3
(D) &alpha; = -2,&nbsp;&beta; = 3
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

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