Between the following two statements: Statement-I: Let a = i + 2j - 3k and b = 2i + j - k. Then the vector r s…

Question

Between the following two statements:

**Statement-I:** Let **$$\vec{a} = \hat{i} + 2\hat{j} - 3\hat{k}$$** and **$$\vec{b} = 2\hat{i} + \hat{j} - \hat{k}$$**. Then the vector **$$\vec{r}$$** satisfying **$$\vec{a} 	imes \vec{r} = \vec{a} 	imes \vec{b}$$** and **$$\vec{a} \cdot \vec{r} = 0$$** is of magnitude **$$\sqrt{10}$$**.

**Statement-II:** In a triangle **$$ABC$$**, **$$\cos(2A) + \cos(2B) + \cos(2C) \geq -\frac{3}{2}$$**.

Accepted Answer

B. Statement-I is incorrect but Statement-II is correct

Answer

A. Both Statement-I and Statement-II are incorrect

Answer

C. Both Statement-I and Statement-II are correct

Answer

D. Statement-I is correct but Statement-II is incorrect

Answer & step-by-step solution

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