AP EAMCET · PHYSICS · Mathematics in Physics
Find the angle between the vectors \(\mathbf{A}=2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) and \(\mathbf{B}=4 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\).
- A \(0^{\circ}\)
- B \(45^{\circ}\)
- C \(60^{\circ}\)
- D \(90^{\circ}\)
Answer & Solution
Correct Answer
(D) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
Given, \(\mathbf{A}=2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) and \(\mathbf{B}=4 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\) Let \(\theta\) be the angle between \(\mathbf{A}\) and \(\mathbf{B}\). By using dot product,…
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