Question 115

Mathematics 3D Planes Hard

If \(\overrightarrow{{a}}\) and \(\overrightarrow{{b}}\) are vectors in space, given by \(\overrightarrow{{a}}=\frac{\hat{i}-2\hat{j}}{\sqrt[]{5}}\) and \(\overrightarrow{{b}}=\frac{2\hat{i}+\hat{j}+3\hat{k}}{\sqrt[]{14}}\), then the value of\((2\vec{a} + \vec{b}).[(\vec{a} × \vec{b}) × (\vec{a} – 2\vec{b})]\) is

(A) 3
(B) 4
(C) 5
(D) 6
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

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