AP EAMCET · Maths · Three Dimensional Geometry
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 the component of \(\mathbf{v}\) on \(\mathbf{u}\) is
- A \(\frac{4}{3}\)
- B \(\frac{-4}{3}\)
- C \(\frac{-2}{3}\)
- D \(\frac{2}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{-4}{3}\)
Step-by-step Solution
Detailed explanation
Given vectors are \(\mathbf{u}=-2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\mathbf{v}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) \(\therefore\) Component of \(\mathbf{v}\) on \(\mathbf{u}\) is…
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