AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}=x^2 \hat{\mathbf{i}}+x \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and \(\mathbf{b}=x \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{a} \cdot \mathbf{b}>6\) then
- A \(x \in R^{-}\)
- B \(x \in(-\infty, 0) \cup(1, \infty)\)
- C \(x \in(-\infty,-2) \cup(2, \infty)\)
- D \(x \in(-2,0) \cup(2, \infty)\)
Answer & Solution
Correct Answer
(D) \(x \in(-2,0) \cup(2, \infty)\)
Step-by-step Solution
Detailed explanation
Given, \[ \begin{aligned} & \mathbf{a}=x^2 \hat{\mathbf{i}}+x \hat{\mathbf{j}}+3 \hat{\mathbf{k}} \\ & \mathbf{b}=x \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+2 \hat{\mathbf{k}} \end{aligned} \]…
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