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AP EAMCET · Maths · Vector Algebra

If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are three non-coplanar vectors, then match the items of List-I with those of List-II.


The correct answer is
A \(\quad\) B \(\quad\) B \(\quad\) D

  1. A III IV V II
  2. B IV V II III
  3. C I IV V III
  4. D I IV II III
Verified Solution

Answer & Solution

Correct Answer

(D) I IV II III

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { (A) }[\mathbf{b} \times \mathbf{c} \mathbf{c} \times \mathbf{a} \mathbf{a} \times \mathbf{b}] \\ & =(\mathbf{b} \times \mathbf{c}) \times(\mathbf{c} \times \mathbf{a}) \cdot(\mathbf{a} \times \mathbf{b}) \\ & =\{\mathbf{d} \times(\mathbf{c} \times…