AP EAMCET · Maths · Vector Algebra
Let \(\mathbf{u}=-2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\mathbf{v}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\). Then angle between \(\mathbf{u}\) and \(\mathbf{v}\) is
- A \(\cos ^{-1}\left(\frac{4}{9}\right)\)
- B \(\cos ^{-1}\left(\frac{-4}{3}\right)\)
- C \(\cos ^{-1}\left(\frac{4}{3}\right)\)
- D \(\sin ^{-1}\left(\frac{-4}{9}\right)\)
Answer & Solution
Correct Answer
(A) \(\cos ^{-1}\left(\frac{4}{9}\right)\)
Step-by-step Solution
Detailed explanation
Let angle between vector \(\mathbf{u}=-2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\mathbf{v}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) is \(\theta\), then…
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