# Recent questions tagged distance

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Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?
Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant? ...
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What is the distance $D$ between the point $P_{0}\left(x_{0}, y_{0},z_{0}\right)$ and the line $a x+b y+c z+d=0$ in $R^{3} ?$
What is the distance $D$ between the point $P_{0}\left(x_{0}, y_{0},z_{0}\right)$ and the line $a x+b y+c z+d=0$ in $R^{3} ?$What is the distance $D$ between the point $P_{0}\left(x_{0}, y_{0},z_{0}\right)$ and the line $a x+b y+c z+d=0$ in $R^{3} ?$ ...
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Prove that, In $R^{3}$ the distance $D$ between the point $P_{0}\left(x_{0}, y_{0}, z_{0}\right)$ and the plane $a x+b y+c z+d=0$ is
Prove that, In $R^{3}$ the distance $D$ between the point $P_{0}\left(x_{0}, y_{0}, z_{0}\right)$ and the plane $a x+b y+c z+d=0$ isProve that, In $R^{3}$ the distance $D$ between the point $P_{0}\left(x_{0}, y_{0}, z_{0}\right)$ and the plane $a x+b y+c z+d=0$ is $$D=\frac{\left| ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the distance D between the point (1,-4,-3) and the plane 2 x-3 y+6 z=-1. 1 answer 6 views Find the distance D between the point (1,-4,-3) and the plane 2 x-3 y+6 z=-1.Find the distance D between the point (1,-4,-3) and the plane 2 x-3 y+6 z=-1. ... close 1 answer 3 views The planes$$ x+2 y-2 z=3 \text { and } 2 x+4 y-4 z=7 $$are parallel since their normals, (1,2,-2) and (2,4,-4), are parallel vectors. Find the distance between these planes.The planes$$ x+2 y-2 z=3 \text { and } 2 x+4 y-4 z=7 $$are parallel since their normals, (1,2,-2) and (2,4,-4), are parallel vectors. Find the d ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Do the points A(1,1,1), B(-2,0,3), and C(-3,-1,1) form the vertices of a right triangle? Explain. 0 answers 3 views Do the points A(1,1,1), B(-2,0,3), and C(-3,-1,1) form the vertices of a right triangle? Explain.Do the points A(1,1,1), B(-2,0,3), and C(-3,-1,1) form the vertices of a right triangle? Explain. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A sailboat travels 100 \mathrm{~m} due north while the wind exerts a force of 500 \mathrm{~N} toward the northeast. How much work does the wind do? 0 answers 2 views A sailboat travels 100 \mathrm{~m} due north while the wind exerts a force of 500 \mathrm{~N} toward the northeast. How much work does the wind do?A sailboat travels 100 \mathrm{~m} due north while the wind exerts a force of 500 \mathrm{~N} toward the northeast. How much work does the wind do ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the lengths of the sides and the interior angles of the triangle in R^{4} whose vertices are$$ P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5,7,2) $$0 answers 6 views Find the lengths of the sides and the interior angles of the triangle in R^{4} whose vertices are$$ P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5,7,2) $$Find the lengths of the sides and the interior angles of the triangle in R^{4} whose vertices are$$ P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5 ...
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If $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal to
If $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal toIf $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal to &nbsp; A) $(1,-4,-5)$ B) $(7,-4,5)$ C ...
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The angle between vectors $(1,3,-2)$ and $(4,-2,-1)$ is
The angle between vectors $(1,3,-2)$ and $(4,-2,-1)$ isThe angle between vectors $(1,3,-2)$ and $(4,-2,-1)$ is &nbsp; A) 0 B) $\dfrac{\pi}{3}$ C) $\dfrac{\pi}{2}$ D) $\pi$ E) none of the above ...
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The distance from the point $(1,1,1)$ to the plane $2 x-10 y+11 z-4=0$ is equal to
The distance from the point $(1,1,1)$ to the plane $2 x-10 y+11 z-4=0$ is equal toThe distance from the point $(1,1,1)$ to the plane $2 x-10 y+11 z-4=0$ is equal to &nbsp; A) $\dfrac{1}{3}$ B) 3 C) $\dfrac{1}{15}$ D) 5 E) no ...
Let $z_{1}=\left|z_{1}\right|\left(\cos \left(\theta_{1}\right)+i \sin \left(\theta_{1}\right)\right)$ and $z_{2}=\left|z_{2}\right|\left(\cos \left(\theta_{2}\right)+i \sin \left(\theta_{2}\right)\right)$ be two complex numbers.Let $z_{1}=\left|z_{1}\right|\left(\cos \left(\theta_{1}\right)+i \sin \left(\theta_{1}\right)\right)$ and $z_{2}=\left|z_{2}\right|\left(\cos \left(\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether planes$2 x+y+z-1=0,-x+3 y-2 z-3=0$and$3 x-y=-1$intersect. If yes, find the intersection. 0 answers 4 views Determine whether planes$2 x+y+z-1=0,-x+3 y-2 z-3=0$and$3 x-y=-1$intersect. If yes, find the intersection.Determine whether planes$2 x+y+z-1=0,-x+3 y-2 z-3=0$and$3 x-y=-1$intersect. If yes, find the intersection. ... close 0 answers 9 views 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 product of$A$,$B$and$C$? 0 answers 3 views What is the product of$A$,$B$and$C$? \text { Given } A=\left\begin{array}{ll} 4 &amp; 5 \end{array}\right, B=\left\begin{array}{llll} 1 &amp; 1 &amp; 2 &amp; 1 \end{ar ... 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 distance$D$between the point$P_{0}\left(x_{0}, y_{0}\right)$and the line$a x+b y+c=0$in$R^2$? 1 answer 4 views What is the distance$D$between the point$P_{0}\left(x_{0}, y_{0}\right)$and the line$a x+b y+c=0$in$R^2$?What is the distance$D$between the point$P_{0}\left(x_{0}, y_{0}\right)$and the line$a x+b y+c=0$in$R^2$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The angle between vectors$(2,6,-4)$and$(4,-2,-1)$is 0 answers 6 views The angle between vectors$(2,6,-4)$and$(4,-2,-1)$isThe angle between vectors$(2,6,-4)$and$(4,-2,-1)$is &nbsp; A. 0 B.$\dfrac{\pi}{3}$C.$\dfrac{\pi}{2}$D.$\pi$E. none of the above ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The complex number$\frac{1-2 i}{1+2 i}$is equal to 0 answers 5 views The complex number$\frac{1-2 i}{1+2 i}$is equal toThe complex number$\dfrac{1-2 i}{1+2 i}$is equal to &nbsp; A)$\dfrac{3}{5}+\dfrac{4}{5} i$B)$-\dfrac{3}{5}+\dfrac{4}{5} i$C)$\dfrac{3}{5}-\ ...
If $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal to
If $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal toIf $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal to &nbsp; A) $(1,-4,-5)$ B) $(7,-4,5)$ C) $(7,-4,-5)$ D) $(7,4, ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The angle between vectors$(1,3,-2)$and$(4,-2,-1)$is 0 answers 4 views The angle between vectors$(1,3,-2)$and$(4,-2,-1)$isThe angle between vectors$(1,3,-2)$and$(4,-2,-1)$is &nbsp; A) 0 B)$\frac{\pi}{3}$C)$\frac{\pi}{2}$D)$\pi$E) none of the above ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The distance from the point$(-1,1,1)$to the plane 0 answers 5 views The distance from the point$(-1,1,1)$to the planeThe distance from the point$(-1,1,1)$to the plane $$2 x-10 y+11 z-4=0$$ is equal to &nbsp; A) 3 B)$\frac{1}{3}$C) 5 D)$\frac{1}{5}$E) no ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let$x^{2}+2 x \arctan y=y \cos x$. Find$y^{\prime}$at$\left(\dfrac{\pi}{2},-1\right)$. 0 answers 6 views Let$x^{2}+2 x \arctan y=y \cos x$. Find$y^{\prime}$at$\left(\dfrac{\pi}{2},-1\right)$.Let$x^{2}+2 x \arctan y=y \cos x$. Find$y^{\prime}$at$\left(\dfrac{\pi}{2},-1\right)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Evaluate$\int \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$0 answers 6 views Evaluate$\int \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$Evaluate$\int \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the integral$\int_{0}^{1} \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$is convergent or divergent. 0 answers 4 views Determine whether the integral$\int_{0}^{1} \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$is convergent or divergent.Determine whether the integral$\int_{0}^{1} \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$is convergent or divergent. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Evaluate$\int_{1}^{2} \frac{x^{2}-x+4}{(x+1)\left(x^{2}+1\right)} d x=$0 answers 4 views Evaluate$\int_{1}^{2} \frac{x^{2}-x+4}{(x+1)\left(x^{2}+1\right)} d x=$Evaluate$\int_{1}^{2} \dfrac{x^{2}-x+4}{(x+1)\left(x^{2}+1\right)} d x=$&nbsp; A.$\quad \ln \left(\frac{27}{20}\right)+\arctan 2-\frac{\pi}{4}\$ ...