# Recent questions tagged lines

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Prove the orthogonal projection theorem
Prove the orthogonal projection theoremProve the orthogonal projection theorem ...
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Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the positive $x$-axis in $R^{2}$.Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the ...
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Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.
Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain. ...
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Express the vector $\mathbf{u}=(2,3,1,2)$ in the form $\mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}$, where $\mathbf{w}_{1}$ is a scalar multiple of $\mathbf{a}=(-1,0,2,1)$ and $\mathbf{w}_{2}$ is orthogonal to a. Express the vector $\mathbf{u}=(2,3,1,2)$ in the form $\mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}$, where $\mathbf{w}_{1}$ is a scalar multiple of $\m ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the form of vector and parametric equations of lines in$R^{2}$and$R^{3}$1 answer 4 views What is the form of vector and parametric equations of lines in$R^{2}$and$R^{3}$What is the form of vector and parametric equations of lines in$R^{2}$and$R^{3}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the equation of the plane that contains the$z$-axis and the point$(3,1,2)$. 0 answers 7 views Find the equation of the plane that contains the$z$-axis and the point$(3,1,2)$.Find the equation of the plane that contains the$z$-axis and the point$(3,1,2)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Match the reasons to the lines of the following proof. 0 answers 8 views Match the reasons to the lines of the following proof. Match the reasons to the lines of the following proof. Let$T$be a triangle with vertices$u, v$, and$w$in$\mathrm{C}$where the vertices are n ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 You may choose the same option for matching more than once. Read through the following proof and match the lines with the reasons given below. 0 answers 5 views You may choose the same option for matching more than once. Read through the following proof and match the lines with the reasons given below. You may choose the same option for matching more than once.&nbsp;Read through the following proof and match the lines with the reasons given below. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 You may choose the same option for matching more than once. Read through the following proof and spot an error or not in the lines$L 1$to$L 5$. 0 answers 3 views You may choose the same option for matching more than once. Read through the following proof and spot an error or not in the lines$L 1$to$L 5$. You may choose the same option for matching more than once. Read through the following proof and spot an error or not in the lines$L 1$to$L 5$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Using the substitution$x=v y$or otherwise, find the general solution of the differential equation. 0 answers 3 views Using the substitution$x=v y$or otherwise, find the general solution of the differential equation.Consider the differential equation$\frac{d x}{d y}=\frac{y^{2}+y^{2} e^{\left(\frac{x}{y}\right)^{2}}+2 x^{2} e^{\left(\frac{x}{y}\right)^{2}}}{2 x y ...
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Find the intercepts on the $x$ - and $y$-axes (if any) for the function $f(x)=\frac{x^{2}-3}{x+2}$ and discuss symmetry.
Find the intercepts on the $x$ - and $y$-axes (if any) for the function $f(x)=\frac{x^{2}-3}{x+2}$ and discuss symmetry.Find the intercepts on the $x$ - and $y$-axes (if any) for the function $f(x)=\frac{x^{2}-3}{x+2}$ and discuss symmetry. ...
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For an infinite sheet of positive charge, the electric field lines:
For an infinite sheet of positive charge, the electric field lines:For an infinite sheet of positive charge, the electric field lines: w) run parallel to the sheet of charge x) are perpendicular to the sheet of char ...
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Show that the lines intersect and find their point of intersection
Show that the lines intersect and find their point of intersectionShow that the lines $\overline{r_{1}}=3\hat{i}+2\hat{j}-4\hat{k}+\lambda (\hat{i}+2\hat{j}+2\hat{k})$ and \(\overline{r_{2}}=5\hat{i}-2\hat{j}+\m ...
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How do I know if two straight lines are parallel?
How do I know if two straight lines are parallel?How do I know if two straight lines are parallel? ...
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What is the measure of the angle between perpendicular lines?
What is the measure of the angle between perpendicular lines?What is the measure of the angle between perpendicular lines? ...
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Vertical lines go in which direction?
Vertical lines go in which direction?Vertical lines go in which direction? ...
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What term is used to describe two lines that do not meet at any point?
What term is used to describe two lines that do not meet at any point?What term is used to describe two lines that do not meet at any point? ...
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How are transmission lines protected from lightning strikes?
How are transmission lines protected from lightning strikes?How are transmission lines protected from lightning strikes? ...
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What is the major drawback of the use of two parallel lines in a capacitor?
What is the major drawback of the use of two parallel lines in a capacitor?What is the major drawback of the use of two parallel lines in a capacitor? ...
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Why is it that positive electric fields of lines are radially outwards?
Why is it that positive electric fields of lines are radially outwards?Why is it that positive electric fields of lines are radially outwards? ...
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How are the gradients of parallel or perpendicular lines related to the gradient of a known line?
How are the gradients of parallel or perpendicular lines related to the gradient of a known line?How are the gradients of parallel or perpendicular lines related to the gradient of a known line? ...
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What is the SI unit for measuring the number of lines of flux?
What is the SI unit for measuring the number of lines of flux?What is the SI unit for measuring the number of lines of flux? ...
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WHat are flux lines in magnetism?