Let ε1 and ε2 Be the Angles Made by → a and → − a with the Positive X-axis. Show that Tan ε1 = Tan ε2. Thus, Giving Tan ε Does Not Uniquely Determine the Direction of → a . - Physics

प्रश्न

Let ε₁ and ε₂ be the angles made by $\vec{A}$ and - $\vec{A}$ with the positive X-axis. Show that tan ε₁ = tan ε₂_. Thus, giving tan ε does not uniquely determine the direction of $\vec{A}$ .

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उत्तर

The direction of - $\vec{A}$ is opposite to $\vec{A}$ .So, if vector $\vec{A}$ and $- \vec{A}$ make the angles ε₁ and ε₂ with the X-axis, respectively, then ε₁ is equal to ε₂ as shown in the figure:

Here, tan ε₁ = tan ε₂
Because these are alternate angles.
Thus, giving tan ε does not uniquely determine the direction of $- \vec{A}$ .

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अध्याय 2: Physics and Mathematics - Short Answers [पृष्ठ २८]

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अध्याय 2 Physics and Mathematics
Short Answers | Q 9 | पृष्ठ २८

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Let ε1 and ε2 Be the Angles Made by → a and → − a with the Positive X-axis. Show that Tan ε1 = Tan ε2. Thus, Giving Tan ε Does Not Uniquely Determine the Direction of → a . - Physics

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Let ε1 and ε2 Be the Angles Made by → a and → − a with the Positive X-axis. Show that Tan ε1 = Tan ε2. Thus, Giving Tan ε Does Not Uniquely Determine the Direction of → a . - Physics

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