TS EAMCET · Physics · Mathematics in Physics
The component of vector \(\overrightarrow{\mathbf{A}}=a_x \hat{\mathbf{i}}+a_y \hat{\mathbf{j}}+a_z \hat{\mathbf{k}}\) along the direction of \(\hat{\mathbf{i}}-\hat{\mathbf{j}}\) is
- A \(a_x-a_y+a_z\)
- B \(a_x-a_y\)
- C \(\left(a_x-a_y\right) / \sqrt{2}\)
- D \(\left(a_x+a_y+a_z\right)\)
Answer & Solution
Correct Answer
(C) \(\left(a_x-a_y\right) / \sqrt{2}\)
Step-by-step Solution
Detailed explanation
Let \(\overrightarrow{\mathbf{B}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}\) Then component of vector \(\overrightarrow{\mathbf{A}}\) along \(\overrightarrow{\mathbf{B}}\)…
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