-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes...

-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes through the point.

P (5, -2, 4) and it's perpendicular to the plane 4x-3y+5z=0.

b) Find the equation of the plane (Cartesian and vector) that passes through the points. A (1, -1, -1), B (3, 5, 7), C (1, 6, 8).

Expert Solution

milcah answered 2 years ago

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to...

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to the line parametrized by 〈t−3,t−3,−3−3t〉: Find the simplest vector parametric expression r⃗ (t) for the line that passes through the points P=(0,0,−1) at time t = 1 and Q=(0,−4,−1) at time t = 5 Need help with Calculus III

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3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.$$ x=e^{-t} \cos t, \quad y=e^{-t} \sin t, \quad z=e^{-t} ; \quad(1,0,1) $$(b): Find the unit tangent vector $\mathbf{T}$, the principal unit normal $\mathbf{N}$, and the curvature $\kappa$ for the space curve,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$

Question

-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes...

Solutions

Expert Solution

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