Question 116

Mathematics Scalar and Vector Products Hard

Let \(\vec{A} = 2\hat{i} + \hat{j} – 2\hat{k}\) and \(\vec{B} = \hat{i} + \hat{j}\), If \(\vec{C}\) is a vector such that \(|\vec{C} – \vec{A}| = 3\) and the angle between A × B and C is \({30^{\circ}}\), then \(|(\vec{A} × \vec{B}) × \vec{C}|\) = 3 then the value of \(\vec{A}.\vec{C}\) is equal to

(A) 25/8
(B) 2
(C) 5
(D) 1/8
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

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