\(\Rightarrow\ \frac{x\ +\ 1}{3}=\ \frac{y}{4}=\ \frac{z\ -\ 8}{-8}\)

\(\Rightarrow\ \frac{x\ +\ 1}{3}=\ \frac{y}{4}=\ \frac{8\ -\ z}{8}\) Symmetric equations \(\frac{x\ +\ 1}{3}=\frac{y}{4}=\frac{8\ -\ z}{8}\)

Question

2021-02-03

\(\Rightarrow\ \frac{x\ +\ 1}{3}=\ \frac{y}{4}=\ \frac{z\ -\ 8}{-8}\)

\(\Rightarrow\ \frac{x\ +\ 1}{3}=\ \frac{y}{4}=\ \frac{8\ -\ z}{8}\) Symmetric equations \(\frac{x\ +\ 1}{3}=\frac{y}{4}=\frac{8\ -\ z}{8}\)

asked 2021-09-15

Point: (-3, 4, 5)

Parallel to: \(\displaystyle\frac{{{x}-{1}}}{{2}}=\frac{{{y}+{1}}}{ -{{3}}}={z}-{5}\)

(a) Parametric equations

(b) Symmetric equations

asked 2021-09-03

P(3,-4,-1) passing through point v=i+j+k.

Write the parametric equation of the line parallel to its vector

Write the parametric equation of the line parallel to its vector

asked 2021-09-10

Write an equations in indicated coordinate system. Also write a parametric equation and a vector equation for each of the following equations.

1) \(\displaystyle{\frac{{{x}-{1}}}{{{2}}}}={\frac{{{y}-{5}}}{{{3}}}}={\frac{{{z}-{2}}}{{{4}}}}\) cylindrical coordinates, sherical coordinates

2) \(\displaystyle{3}{x}+{4}{y}+{5}{z}={6}\) cylindrical coordinates, sherical coordinates

3) \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={100}\) cylindrical coordinates, sherical coordinates

4) \(\displaystyle{x}^{{2}}+{y}^{{2}}={100}\) cylindrical coordinates, sherical coordinates

asked 2021-09-06

Represent the line segment from P to Q by a vector-valued function

P(-8,-2,-2), Q(-3,-9,-4)

Represent the line segment from P to Q by a set of parametric equations

P(-8,-2,-2), Q(-3,-9,-4)

Represent the line segment from P to Q by a set of parametric equations